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In the Maths Olympiad of 2020 at Animal Planet, two representatives from the donkey’s side, while solving a quadratic equation, committed the following mistakes.
(i) One of them made a mistake in the constant term and got the roots as 5 and 9.
(ii) Another one committed an error in the coefficient of x and he got the roots as 12 and 4.
But in the meantime, they realised that they are wrong and they managed to get it right jointly. Find the quadratic equation.
(i) One of them made a mistake in the constant term and got the roots as 5 and 9.
(ii) Another one committed an error in the coefficient of x and he got the roots as 12 and 4.
But in the meantime, they realised that they are wrong and they managed to get it right jointly. Find the quadratic equation.
- a)x2 + 4x + 14 = 0
- b)2x2 + 7x – 24 = 0
- c)x2 – 14x + 48 = 0
- d)3x2 – 17x + 52 = 0
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
In the Maths Olympiad of 2020 at Animal Planet, two representatives fr...
Understanding the Mistakes
In the scenario, two representatives from the donkey's side made errors while solving a quadratic equation. Let's analyze their mistakes:
First Representative's Error
- This representative obtained roots 5 and 9.
- The correct quadratic equation can be formed using the roots:
x² - (sum of roots)x + (product of roots) = 0
- Here, the sum of roots = 5 + 9 = 14 and the product of roots = 5 * 9 = 45.
- Therefore, the equation is:
x² - 14x + 45 = 0
Second Representative's Error
- This representative found roots 12 and 4.
- Similarly, using the roots, we can form the equation:
- Sum of roots = 12 + 4 = 16 and the product of roots = 12 * 4 = 48.
- Thus, the equation is:
x² - 16x + 48 = 0
Finding the Correct Equation
- The correct quadratic equation must align with both representatives' errors.
- We need to identify a quadratic equation that fits the correct roots, considering the mistakes made.
Verifying Option C
- Option C: x² - 14x + 48 = 0
- Roots of this equation can be calculated as follows:
- Sum = 14 (matches the first representative's sum)
- Product = 48 (matches the second representative's product)
- Therefore, the correct quadratic equation is indeed:
Final Answer
x² - 14x + 48 = 0 (Option C)
In the scenario, two representatives from the donkey's side made errors while solving a quadratic equation. Let's analyze their mistakes:
First Representative's Error
- This representative obtained roots 5 and 9.
- The correct quadratic equation can be formed using the roots:
x² - (sum of roots)x + (product of roots) = 0
- Here, the sum of roots = 5 + 9 = 14 and the product of roots = 5 * 9 = 45.
- Therefore, the equation is:
x² - 14x + 45 = 0
Second Representative's Error
- This representative found roots 12 and 4.
- Similarly, using the roots, we can form the equation:
- Sum of roots = 12 + 4 = 16 and the product of roots = 12 * 4 = 48.
- Thus, the equation is:
x² - 16x + 48 = 0
Finding the Correct Equation
- The correct quadratic equation must align with both representatives' errors.
- We need to identify a quadratic equation that fits the correct roots, considering the mistakes made.
Verifying Option C
- Option C: x² - 14x + 48 = 0
- Roots of this equation can be calculated as follows:
- Sum = 14 (matches the first representative's sum)
- Product = 48 (matches the second representative's product)
- Therefore, the correct quadratic equation is indeed:
Final Answer
x² - 14x + 48 = 0 (Option C)
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Community Answer
In the Maths Olympiad of 2020 at Animal Planet, two representatives fr...
For 1st one,
Let the equation be x2 + ax + b = 0
Since roots are 5 and 9
∴ a = –14 and b = 45
For 2nd one,
Let the equation be x2 + px + q = 0
Since roots are 12 and 4.
∴ p = –16 and q = 48
Now, according to the question, b and p both are wrong. Therefore, the correct equation would be x2 –14x + 48 = 0
Let the equation be x2 + ax + b = 0
Since roots are 5 and 9
∴ a = –14 and b = 45
For 2nd one,
Let the equation be x2 + px + q = 0
Since roots are 12 and 4.
∴ p = –16 and q = 48
Now, according to the question, b and p both are wrong. Therefore, the correct equation would be x2 –14x + 48 = 0
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In the Maths Olympiad of 2020 at Animal Planet, two representatives from the donkey’s side, while solving a quadratic equation, committed the following mistakes.(i) One of them made a mistake in the constant term and got the roots as 5 and 9.(ii) Another one committed an error in the coefficient of x and he got the roots as 12 and 4.But in the meantime, they realised that they are wrong and they managed to get it right jointly. Find the quadratic equation.a)x2 + 4x + 14 = 0b)2x2 + 7x – 24 = 0c)x2 – 14x + 48 = 0d)3x2 – 17x + 52 = 0Correct answer is option 'C'. Can you explain this answer?
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In the Maths Olympiad of 2020 at Animal Planet, two representatives from the donkey’s side, while solving a quadratic equation, committed the following mistakes.(i) One of them made a mistake in the constant term and got the roots as 5 and 9.(ii) Another one committed an error in the coefficient of x and he got the roots as 12 and 4.But in the meantime, they realised that they are wrong and they managed to get it right jointly. Find the quadratic equation.a)x2 + 4x + 14 = 0b)2x2 + 7x – 24 = 0c)x2 – 14x + 48 = 0d)3x2 – 17x + 52 = 0Correct answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about In the Maths Olympiad of 2020 at Animal Planet, two representatives from the donkey’s side, while solving a quadratic equation, committed the following mistakes.(i) One of them made a mistake in the constant term and got the roots as 5 and 9.(ii) Another one committed an error in the coefficient of x and he got the roots as 12 and 4.But in the meantime, they realised that they are wrong and they managed to get it right jointly. Find the quadratic equation.a)x2 + 4x + 14 = 0b)2x2 + 7x – 24 = 0c)x2 – 14x + 48 = 0d)3x2 – 17x + 52 = 0Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the Maths Olympiad of 2020 at Animal Planet, two representatives from the donkey’s side, while solving a quadratic equation, committed the following mistakes.(i) One of them made a mistake in the constant term and got the roots as 5 and 9.(ii) Another one committed an error in the coefficient of x and he got the roots as 12 and 4.But in the meantime, they realised that they are wrong and they managed to get it right jointly. Find the quadratic equation.a)x2 + 4x + 14 = 0b)2x2 + 7x – 24 = 0c)x2 – 14x + 48 = 0d)3x2 – 17x + 52 = 0Correct answer is option 'C'. Can you explain this answer?.
In the Maths Olympiad of 2020 at Animal Planet, two representatives from the donkey’s side, while solving a quadratic equation, committed the following mistakes.(i) One of them made a mistake in the constant term and got the roots as 5 and 9.(ii) Another one committed an error in the coefficient of x and he got the roots as 12 and 4.But in the meantime, they realised that they are wrong and they managed to get it right jointly. Find the quadratic equation.a)x2 + 4x + 14 = 0b)2x2 + 7x – 24 = 0c)x2 – 14x + 48 = 0d)3x2 – 17x + 52 = 0Correct answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about In the Maths Olympiad of 2020 at Animal Planet, two representatives from the donkey’s side, while solving a quadratic equation, committed the following mistakes.(i) One of them made a mistake in the constant term and got the roots as 5 and 9.(ii) Another one committed an error in the coefficient of x and he got the roots as 12 and 4.But in the meantime, they realised that they are wrong and they managed to get it right jointly. Find the quadratic equation.a)x2 + 4x + 14 = 0b)2x2 + 7x – 24 = 0c)x2 – 14x + 48 = 0d)3x2 – 17x + 52 = 0Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the Maths Olympiad of 2020 at Animal Planet, two representatives from the donkey’s side, while solving a quadratic equation, committed the following mistakes.(i) One of them made a mistake in the constant term and got the roots as 5 and 9.(ii) Another one committed an error in the coefficient of x and he got the roots as 12 and 4.But in the meantime, they realised that they are wrong and they managed to get it right jointly. Find the quadratic equation.a)x2 + 4x + 14 = 0b)2x2 + 7x – 24 = 0c)x2 – 14x + 48 = 0d)3x2 – 17x + 52 = 0Correct answer is option 'C'. Can you explain this answer?.
Solutions for In the Maths Olympiad of 2020 at Animal Planet, two representatives from the donkey’s side, while solving a quadratic equation, committed the following mistakes.(i) One of them made a mistake in the constant term and got the roots as 5 and 9.(ii) Another one committed an error in the coefficient of x and he got the roots as 12 and 4.But in the meantime, they realised that they are wrong and they managed to get it right jointly. Find the quadratic equation.a)x2 + 4x + 14 = 0b)2x2 + 7x – 24 = 0c)x2 – 14x + 48 = 0d)3x2 – 17x + 52 = 0Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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In the Maths Olympiad of 2020 at Animal Planet, two representatives from the donkey’s side, while solving a quadratic equation, committed the following mistakes.(i) One of them made a mistake in the constant term and got the roots as 5 and 9.(ii) Another one committed an error in the coefficient of x and he got the roots as 12 and 4.But in the meantime, they realised that they are wrong and they managed to get it right jointly. Find the quadratic equation.a)x2 + 4x + 14 = 0b)2x2 + 7x – 24 = 0c)x2 – 14x + 48 = 0d)3x2 – 17x + 52 = 0Correct answer is option 'C'. Can you explain this answer?, a detailed solution for In the Maths Olympiad of 2020 at Animal Planet, two representatives from the donkey’s side, while solving a quadratic equation, committed the following mistakes.(i) One of them made a mistake in the constant term and got the roots as 5 and 9.(ii) Another one committed an error in the coefficient of x and he got the roots as 12 and 4.But in the meantime, they realised that they are wrong and they managed to get it right jointly. Find the quadratic equation.a)x2 + 4x + 14 = 0b)2x2 + 7x – 24 = 0c)x2 – 14x + 48 = 0d)3x2 – 17x + 52 = 0Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of In the Maths Olympiad of 2020 at Animal Planet, two representatives from the donkey’s side, while solving a quadratic equation, committed the following mistakes.(i) One of them made a mistake in the constant term and got the roots as 5 and 9.(ii) Another one committed an error in the coefficient of x and he got the roots as 12 and 4.But in the meantime, they realised that they are wrong and they managed to get it right jointly. Find the quadratic equation.a)x2 + 4x + 14 = 0b)2x2 + 7x – 24 = 0c)x2 – 14x + 48 = 0d)3x2 – 17x + 52 = 0Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In the Maths Olympiad of 2020 at Animal Planet, two representatives from the donkey’s side, while solving a quadratic equation, committed the following mistakes.(i) One of them made a mistake in the constant term and got the roots as 5 and 9.(ii) Another one committed an error in the coefficient of x and he got the roots as 12 and 4.But in the meantime, they realised that they are wrong and they managed to get it right jointly. Find the quadratic equation.a)x2 + 4x + 14 = 0b)2x2 + 7x – 24 = 0c)x2 – 14x + 48 = 0d)3x2 – 17x + 52 = 0Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 10 tests.
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