JEE Main202528 Jan 2025Morning ShiftMathematicsQuadratic EquationActual

The sum, of the squares of all the roots of the equation x^2+|2 x-3|-4=0 , is

Options

A3(3- 2 )
B6(3- 2 )
C6(2- 2 )
D3(2- 2 )

Correct answer

C. 6(2- 2 )

Step-by-step solution

aligned & For x 3 2 & x^2+2 x-3-4=0 & x^2+2 x-7=0 & x= -2 4+28 2 =-1 2 2 aligned Only 2 2 -1 is acceptable root For x < 3 2 x^2-2 x+3-4=0 aligned & x^2-2 x-1=0 & x= 2 4+4 2 =1 2 aligned Only 1- 2 is acceptable Sum of the square =(1- 2 )^2+(2 2 -1)^2=6(2- 2 )

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