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Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation

If x^4+3 (a x^2+b x+c )=2 (x^2-2 ) has two solutions with a, b, c (2,5) then the maximum value of ac b ^2 is _______

Correct answer

1

Step-by-step solution

(x^2-1 )^2=-3 1+ (a x^2+b x+c ) solution exists when L.H.S. = R.H.S. =0 x= 1 and (a x^2+b x+c )=-1 aligned & When x=1, x=-1 & a+b+c=3 , a-b+c= aligned b= and a+c=2

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