lf α, β are the roots of x2+bx−c−0, the the equation whose roots are b and c, is

Sinceα, β are roots of x2+bx−c=0∴ α+β=−b,αβ=−cThe equation whose roots are b, c isx2−x(b+c)+bc=0⇒x2−x(−α−β−αβ)+αβ(α+β)=0⇒x2+x(α+β+αβ)+αβ(α+β)=0