The coefficient of $x$ in the equation $x^{2} + px + q = 0$ was taken as 17 in place of 13 its roots were found to be $- 2\ and - 15$. The roots of the original equation are

Question

Dr. Abubacker · Accepted Answer

(b)
Let the equation (incorrectly written form) be
$x^{2} + 17x + q = 0$
Since, roots are $- 2,\  - 15.$
$	herefore q = 30$
So, correct equation is $x^{2} + 13x + 30 = 0$
$\Rightarrow x^{2} + 10x + 3x + 30 = 0$
$\Rightarrow (x + 3)(x + 10) = 0$
$\Rightarrow x = - 3,\  - 10$

Q. The coefficient of $x$ in the equation $x^{2} + px + q = 0$ was taken as 17 in place of 13 its roots were found to be $- 2\ and - 15$. The roots of the original equation are

Explanation

Reviewed by Dr. Abubacker

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