The co-efficient of x in x2+px+q=0  was taken as 17 in place of 13 and its roots were found to be –2 and –15. The roots of the original equation are

product of roots = (-2)(-15)=30 is same in original equation Original Equation is x2+13x+30=0⇒ Roots are x=–10,−3The equation whose roots are -2, -15 is x2-x(-2-15)+(-2)(-15)=0 ⇒ x2+17x+30=0