Concept Let us consider the standard form of a quadratic equation, ax2+bx+c=0 Let α and β be the two roots of the above quadratic equation. The sum of the roots of a quadratic equation is given by: α+β=−
b
a
=−
coefficient of x
coefficient of x2
The product of the roots is given by: αβ=
c
a
=
constant term
coefficient of x2
Calculation: Let α be a one root of given polynomial then, other root will be
1
α
Given: 5x2+26x+k=0 Compare with general equation ax2+bx+c=0 a=5,b=26,c=k Products of root =