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Two persons A and B solved a quadratic e...

Two persons A and B solved a quadratic equation of the form `x^(2) + bx + c = 0`. A made a mistake in noting down the coefficient of x and obtained the roots as 18 and 2, where as B obtained the roots as `-9` and -3 by misreading the constrant term. The correct roots of the equation are

A

`-6,-3`

B

`-6,6`

C

`-6,-5`

D

`-6,-6`

Text Solution

Verified by Experts

The correct Answer is:
D

(i) Use the concept of sum of the roots and product of the roots of quadratic equation.
(ii) The product to the roots obtained by A and sum of the roots otained by B is equal to the product and sum of the roots of the required equation respectively.
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Knowledge Check

  • In writing a quadratic equation of the form x^(2) + px + q = 0 ,a student makes a mistake in writing the coefficientof x and gets the roots as 8 and 12. Another student makes mistake in writing the constant term and gets the roots as 7 and 3. Find the correct quadratic equation.

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    Only `b ge 4`
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