JEE Main2014MathematicsQuadratic EquationActual

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

Options

A2
B-2
C2
D- 2

Correct answer

C. 2

Step-by-step solution

aligned &x^2+|2 x-3|-4=0 &|2 x-3|= array lll (2 x-3) & if & x > 3 2 -(2 x-3) & if & x 3 2 , x^2+2 x-3-4=0 &x^2+2 x-7=0 &x= -2 4+28 2 &= -2 4 2 2 =-1 2 2 & Here x=2 2 -1 & 2 2 -1 < 3 2 & for x < 3 2 &x^2-2 x+3-4=0 & x^2-2 x-1=0 & x= 2 4+4 2 = 2 2 2 2 =1 2 & Here x=1- 2 (1- 2 ) < 3 2 aligned Sum of roots: (2 2 -1)+(1- 2 )= 2

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