The coefficient of $x$ in the quadratic equation $a x^2+b x+c=0$ was wrongly taken as 17 in place of

Question

The coefficient of $x$ in the quadratic equation $a x^2+b x+c=0$ was wrongly taken as 17 in place of 13 and its roots were found to be -2 and -15 . The actual roots of the equation are

Professor PC Thomas Classes · Answer

Wrong roots $-2, -15$ give product $c/a=30$. True sum is $-b/a = -13$. True roots $-3, -10$.