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Two candidates attempt to solve a quadratic equation of the form x2 + px + q = 0. One starts with a wrong
value of p and finds the roots to be 2 and 6. The other starts with a wrong value of q and finds the roots to be 2 and – 9. Find the correct roots of the equation :
value of p and finds the roots to be 2 and 6. The other starts with a wrong value of q and finds the roots to be 2 and – 9. Find the correct roots of the equation :
- a)3, 4
- b)- 3, - 4
- c)3, – 4
- d)– 3, 4
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Two candidates attempt to solve a quadratic equation of the form x2 + ...
If the roots are 2 and 6
then the quadratic equation will be
(x−2)(x−6)=0
⇒x2−6x−2x+12=0
⇒x2−8x+12=0
If the roots are 2 and −9then the quadratic equation will be
(x−2)(x+9)=0
⇒x2+9x−2x−18=0
⇒x2+7x−18=0
Now it is given that
p is wrong in the first quadratic equation and q is right and vice versa for the second quadratic equation
So, p=−8 is wrong and q=12 is right
Similarly p=7 is right and q=−18 is wrong
So taking the correct values of p and qour equation will become
x2+7x+12=0
⇒x2+4x+3x+12=0
⇒x=−3 and x=−4
Most Upvoted Answer
Two candidates attempt to solve a quadratic equation of the form x2 + ...
• Only p is wrong => q is correct Roots are 2,6q = product of roots = 12• Only q is wrong => p is correctRoots are 2,-9p = sum of roots = -7If roots are a,b then ab = 12 and a + b = -7 ---(1)a - b = √((a + b)² - 4ab) = 1 ---(2)on adding (1) and (2) => 2a = -6 => a = -3=> b = a - 1 = -4Another way to do it is to factorise the equation having correct roots. Any quadratic equation is of the form,x² - (sum of roots)x + product of roots = 0=> x² + 7x + 12 = 0=> (x + 4)(x + 3) = 0=> x = -3, -4
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Two candidates attempt to solve a quadratic equation of the form x2 + ...
Let's denote the correct values of p and q as p* and q* respectively.
The first candidate starts with a wrong value of p and finds the roots to be 2 and 6. This means that the equation can be written as:
x^2 + px + q = (x - 2)(x - 6) = x^2 - 8x + 12
Comparing this with the original equation, we can see that:
p* = -8
q* = 12
The second candidate starts with a wrong value of q and finds the roots to be 2 and -6. This means that the equation can be written as:
x^2 + px + q = (x - 2)(x + 6) = x^2 + 4x - 12
Comparing this with the original equation, we can see that:
p* = 4
q* = -12
Therefore, the correct values of p and q are p* = -8 and q* = 12.
The first candidate starts with a wrong value of p and finds the roots to be 2 and 6. This means that the equation can be written as:
x^2 + px + q = (x - 2)(x - 6) = x^2 - 8x + 12
Comparing this with the original equation, we can see that:
p* = -8
q* = 12
The second candidate starts with a wrong value of q and finds the roots to be 2 and -6. This means that the equation can be written as:
x^2 + px + q = (x - 2)(x + 6) = x^2 + 4x - 12
Comparing this with the original equation, we can see that:
p* = 4
q* = -12
Therefore, the correct values of p and q are p* = -8 and q* = 12.
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Two candidates attempt to solve a quadratic equation of the form x2 + px + q = 0. One starts with a wrongvalue of p and finds the roots to be 2 and 6. The other starts with a wrong value of q and finds the roots tobe 2 and – 9. Find the correct roots of the equation :a)3, 4b)- 3, - 4c)3, – 4d)– 3, 4Correct answer is option 'B'. Can you explain this answer?
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Two candidates attempt to solve a quadratic equation of the form x2 + px + q = 0. One starts with a wrongvalue of p and finds the roots to be 2 and 6. The other starts with a wrong value of q and finds the roots tobe 2 and – 9. Find the correct roots of the equation :a)3, 4b)- 3, - 4c)3, – 4d)– 3, 4Correct answer is option 'B'. 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 Two candidates attempt to solve a quadratic equation of the form x2 + px + q = 0. One starts with a wrongvalue of p and finds the roots to be 2 and 6. The other starts with a wrong value of q and finds the roots tobe 2 and – 9. Find the correct roots of the equation :a)3, 4b)- 3, - 4c)3, – 4d)– 3, 4Correct answer is option 'B'. 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 Two candidates attempt to solve a quadratic equation of the form x2 + px + q = 0. One starts with a wrongvalue of p and finds the roots to be 2 and 6. The other starts with a wrong value of q and finds the roots tobe 2 and – 9. Find the correct roots of the equation :a)3, 4b)- 3, - 4c)3, – 4d)– 3, 4Correct answer is option 'B'. Can you explain this answer?.
Two candidates attempt to solve a quadratic equation of the form x2 + px + q = 0. One starts with a wrongvalue of p and finds the roots to be 2 and 6. The other starts with a wrong value of q and finds the roots tobe 2 and – 9. Find the correct roots of the equation :a)3, 4b)- 3, - 4c)3, – 4d)– 3, 4Correct answer is option 'B'. 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 Two candidates attempt to solve a quadratic equation of the form x2 + px + q = 0. One starts with a wrongvalue of p and finds the roots to be 2 and 6. The other starts with a wrong value of q and finds the roots tobe 2 and – 9. Find the correct roots of the equation :a)3, 4b)- 3, - 4c)3, – 4d)– 3, 4Correct answer is option 'B'. 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 Two candidates attempt to solve a quadratic equation of the form x2 + px + q = 0. One starts with a wrongvalue of p and finds the roots to be 2 and 6. The other starts with a wrong value of q and finds the roots tobe 2 and – 9. Find the correct roots of the equation :a)3, 4b)- 3, - 4c)3, – 4d)– 3, 4Correct answer is option 'B'. Can you explain this answer?.
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Two candidates attempt to solve a quadratic equation of the form x2 + px + q = 0. One starts with a wrongvalue of p and finds the roots to be 2 and 6. The other starts with a wrong value of q and finds the roots tobe 2 and – 9. Find the correct roots of the equation :a)3, 4b)- 3, - 4c)3, – 4d)– 3, 4Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Two candidates attempt to solve a quadratic equation of the form x2 + px + q = 0. One starts with a wrongvalue of p and finds the roots to be 2 and 6. The other starts with a wrong value of q and finds the roots tobe 2 and – 9. Find the correct roots of the equation :a)3, 4b)- 3, - 4c)3, – 4d)– 3, 4Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Two candidates attempt to solve a quadratic equation of the form x2 + px + q = 0. One starts with a wrongvalue of p and finds the roots to be 2 and 6. The other starts with a wrong value of q and finds the roots tobe 2 and – 9. Find the correct roots of the equation :a)3, 4b)- 3, - 4c)3, – 4d)– 3, 4Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two candidates attempt to solve a quadratic equation of the form x2 + px + q = 0. One starts with a wrongvalue of p and finds the roots to be 2 and 6. The other starts with a wrong value of q and finds the roots tobe 2 and – 9. Find the correct roots of the equation :a)3, 4b)- 3, - 4c)3, – 4d)– 3, 4Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 10 tests.
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