99 Percentile Qs Bank for JEE MainMathematicsQuadratic Equation

If , , are the roots of x^3+2 x^2-3 x-1=0 then ⁻²+ ⁻²+ ⁻²=

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Correct answer

B. 13

Step-by-step solution

If , , are the roots of x^3+2 x^2-3 x-1=0 then ⁻²+ ⁻²+ ⁻²= On squaring equation (ii), we get aligned & ^2 ^2+ ^2 ^2+ ^2 ^2+2 ( + + )=9 & ^2 ^2+ ^2 ^2+ ^2 ^2=9-2(1)(-2)=13 aligned Now aligned & ⁻²+ ⁻²+ ⁻²= ^2 ^2+ ^2 ^2+ ^2 ^2 ( )^2 & ⁻²+ ⁻²+ ⁻²= 13 1 =13 aligned

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