Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation

The quartic x^4-2 x^3-3 x^2+2 x+2=0 has

Options

Aonly one natural solution
Btwo integral solutions
Ctwo real and two non real solutions
D( 3 +1) is largest solution

Correct answer

D. ( 3 +1) is largest solution

Step-by-step solution

We have x^4-2 x^3-3 x^2+2 x+2=0 aligned & (x^4-3 x^2+2 )-2 x (x^2-1 )=0 & (x^2-2 ) (x^2-1 )-2 x (x^2-1 )=0 & (x^2-1 ) (x^2-2 x-2 )=0 & x=1 or -1 aligned or x= 2 4+8 2 =1 3 Hence solutions are x=-1, 3 -1,1, 3 +1

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