Question

The coefficient of x in the equation $x^2$ + p$x$ + 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. 3, 10
• B. - 3, - 10
• C. - 5, - 18
• D. 18,5

Answer 1

The correct option is B

- 3, - 10

Let the equation (in written form) be $x^2$ + 17$x$ + q = 0.
Roots are -2, -15.
So q = 30,
And correct equation is $x^2$ + 13$x$ + 30 = 0.
Hence roots are -3, -10.