The coefficient of x in the equation x2+px+q=0 was wrongly written as 17 in place of 13 and the roots thus  found was −2 and −15 . Then the roots of the correct equation are

Correct equation is x2+13x+q=0----(1) Incorrect equation is x2+17x+q=0-----(2) Given, roots of equation (1) are −2 and −15 So, product of roots of incorrect equation, q=(−2)(−15)=30 From (1), correct equation is x2+13x+30=0 ∴x=−3,−10