Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation

If x^4+3 x^3+2(1-a) x^2-3 a x+a^2=0 has only real roots then which of the following may be the value of a ?

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Correct answer

D. 2

Step-by-step solution

x^4+3 x^3+2(1-a) x^2-3 a x+a^2=0 aligned & a^2- (2 x^2+3 x ) a+x^4+3 x^3+2 x^2=0 & a^2- (x^2+2 x+x^2+x ) a+ (x^2+2 x ) (x^2+x )=0 & (x^2+x-a ) (x^2+2 x-a )=0 & D₁=1+4 a and D₂=4+4 a & D₁ 0 and D₂ 0 a> -1 4 aligned

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