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Standard X

Mathematics

Quadratic Formula

A and B sol...

Question

$A$ and $B$ solve an equation $x^{2} + p x + q = 0$ . In solving $A$ commits a mistake in reading $p$ and finds the root $2$ and $6$ and $B$ commits a mistake in reading $q$ and finds the roots $2$ and $- 9$ . Find the correct roots.

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Solution

The correct options are
A $- 3$
C $- 4$
$ x^{2} + p x + q = 0$
As A copied q correct so he will get product of roots correct
As B copied P correct so he will get sum of roots correct
$s u m = 2 - 9 = - 7 p r o d u c t = 2 \times 6 = 12 ∴ e q u a t i o n x^{2} + 7 x + 12 = 0 (x + 4) (x + 3) = 0 ∴ x = - 3 o r - 4$

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A and B solve an equation x2+px+q=0. In solving A commits a mistake in reading p and finds the root 2 and 6 and B commits a mistake in reading q and finds the roots 2 and −9. Find the correct roots.

The correct options are A −3 C −4x2+px+q=0 As A copied q correct so he will get product of roots correct As B copied P correct so he will get sum of roots correct sum=2−9=−7product=2×6=12∴equationx2+7x+12=0(x+4)(x+3)=0∴x=−3or−4

$A$ and $B$ solve an equation $x^{2} + p x + q = 0$ . In solving $A$ commits a mistake in reading $p$ and finds the root $2$ and $6$ and $B$ commits a mistake in reading $q$ and finds the roots $2$ and $- 9$ . Find the correct roots.