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In a circket match,Harbhajan took 3 wickets less than twice number of wickets taken by Zahir. The product of number of wickets taken by these two is 20. Represent the above situation in the form of quadratic equation.?
Most Upvoted Answer
In a circket match,Harbhajan took 3 wickets less than twice number of ...
Let the wickets taken by Zahir=x,
so, the wickets taken by Harbhajan=2x-3,
according to the question,
x(2x-3)=20,
2x²-3x-20=0,---( this is the required quadratic equation)
so, the wickets taken by Harbhajan=2x-3,
according to the question,
x(2x-3)=20,
2x²-3x-20=0,---( this is the required quadratic equation)
Community Answer
In a circket match,Harbhajan took 3 wickets less than twice number of ...
Problem: In a cricket match, Harbhajan took 3 wickets less than twice the number of wickets taken by Zahir. The product of the number of wickets taken by these two is 20. Represent the above situation in the form of a quadratic equation.
Solution:
Let's assume that the number of wickets taken by Zahir is x. Then, according to the problem,
- Harbhajan took 3 wickets less than twice the number of wickets taken by Zahir. So, the number of wickets taken by Harbhajan is (2x - 3).
- The product of the number of wickets taken by these two is 20. So, we can write x(2x - 3) = 20.
- This equation is a quadratic equation in standard form, ax^2 + bx + c = 0, where a = 2, b = -3, and c = -20.
Therefore, the quadratic equation that represents the given situation is:
2x^2 - 3x - 20 = 0
In order to solve this equation, we can use the quadratic formula, which is:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
Plugging in the values of a, b, and c, we get:
x = (3 ± sqrt(9 + 160)) / 4
x = (3 ± sqrt(169)) / 4
x = (3 ± 13) / 4
So, the possible values of x are:
x = 4 or x = -5/2
Since the number of wickets taken cannot be negative, we can discard the negative value of x. Therefore, the number of wickets taken by Zahir is 4.
Using this value, we can find the number of wickets taken by Harbhajan:
Number of wickets taken by Harbhajan = 2x - 3 = 2(4) - 3 = 5
Therefore, Zahir took 4 wickets and Harbhajan took 5 wickets in the cricket match.
Conclusion: The quadratic equation that represents the given situation is 2x^2 - 3x - 20 = 0. The number of wickets taken by Zahir is 4 and by Harbhajan is 5.
Solution:
Let's assume that the number of wickets taken by Zahir is x. Then, according to the problem,
- Harbhajan took 3 wickets less than twice the number of wickets taken by Zahir. So, the number of wickets taken by Harbhajan is (2x - 3).
- The product of the number of wickets taken by these two is 20. So, we can write x(2x - 3) = 20.
- This equation is a quadratic equation in standard form, ax^2 + bx + c = 0, where a = 2, b = -3, and c = -20.
Therefore, the quadratic equation that represents the given situation is:
2x^2 - 3x - 20 = 0
In order to solve this equation, we can use the quadratic formula, which is:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
Plugging in the values of a, b, and c, we get:
x = (3 ± sqrt(9 + 160)) / 4
x = (3 ± sqrt(169)) / 4
x = (3 ± 13) / 4
So, the possible values of x are:
x = 4 or x = -5/2
Since the number of wickets taken cannot be negative, we can discard the negative value of x. Therefore, the number of wickets taken by Zahir is 4.
Using this value, we can find the number of wickets taken by Harbhajan:
Number of wickets taken by Harbhajan = 2x - 3 = 2(4) - 3 = 5
Therefore, Zahir took 4 wickets and Harbhajan took 5 wickets in the cricket match.
Conclusion: The quadratic equation that represents the given situation is 2x^2 - 3x - 20 = 0. The number of wickets taken by Zahir is 4 and by Harbhajan is 5.
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In a circket match,Harbhajan took 3 wickets less than twice number of wickets taken by Zahir. The product of number of wickets taken by these two is 20. Represent the above situation in the form of quadratic equation.?
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In a circket match,Harbhajan took 3 wickets less than twice number of wickets taken by Zahir. The product of number of wickets taken by these two is 20. Represent the above situation in the form of quadratic equation.? 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 a circket match,Harbhajan took 3 wickets less than twice number of wickets taken by Zahir. The product of number of wickets taken by these two is 20. Represent the above situation in the form of quadratic equation.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a circket match,Harbhajan took 3 wickets less than twice number of wickets taken by Zahir. The product of number of wickets taken by these two is 20. Represent the above situation in the form of quadratic equation.?.
In a circket match,Harbhajan took 3 wickets less than twice number of wickets taken by Zahir. The product of number of wickets taken by these two is 20. Represent the above situation in the form of quadratic equation.? 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 a circket match,Harbhajan took 3 wickets less than twice number of wickets taken by Zahir. The product of number of wickets taken by these two is 20. Represent the above situation in the form of quadratic equation.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a circket match,Harbhajan took 3 wickets less than twice number of wickets taken by Zahir. The product of number of wickets taken by these two is 20. Represent the above situation in the form of quadratic equation.?.
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