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Question

Number of solutions of the equations |2x2+x−1|=|x2+4x+1|.

A
1
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B
2
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C
3
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D
4
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Solution

The correct option is D 4
2x2+x1=x2+4x+1
2x2+x1=(x24x+1)
3x25x=0
x(3x5)=0
x=0or53
or
2x2+x1=x2+4x+1
x23x2=0
x=3±9+82
x=3+172,3172
answer is 4

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