Question

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

• A. None of these
• B. – 3, 10
• C. -5, -18
• D. 3, 10

Answer 1

The correct option is B

– 3, 10

Let the equation (in correctly written form) be $x^2$ + 17x + q = 0.

Roots are –1, –15, so 30 = q, So correct equation is $x^2$ + 13x + 30 = 0.

Hence roots are –3, –10.