Question

The coefficient of x in the quadratic equation x² + px + q = 0 was taken as 17 in place of 13, its roots were found to be – 2 and – 15. Find the roots of the original equation.

Answer 1

Here q = (– 2) × (– 15) = 30, correct value of p = 13. 

Hence original equation is x² + 13x + 30 = 0 as (x + 10) (x + 3) = 0 

∴ roots are – 10, – 3