If , , are the roots of the equation x^3+a x^2+b x+c=0 , then ⁻¹+ ⁻¹+ ⁻¹ is equal to

Step-by-step solution

Let , , are roots of equation aligned & x^3+a x^2+b x+c=0 & + + =-a & + + =b & Now, ⁻¹+ ⁻¹+ ⁻¹= 1 + 1 + 1 &= + + = b -c =- b c aligned