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Solve |x|^(2)-|x|+4=2x^(2)-3|x|+1....

Solve `|x|^(2)-|x|+4=2x^(2)-3|x|+1`.

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Verified by Experts

The correct Answer is:
`x=+-3`
`|x|^(2)-|x|+4=2x^(2)-3|x|+1`
`implies |x|^(2)-|x|+4=2|x|^(2)-3|x|+1`
`implies |x|^(2)-2|x|-3=0`
`implies (|x|-3)(|x|+1)=0`
`implies |x|-3=0implies|x|=3impliesx=+-3`
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CENGAGE PUBLICATION-INEQUALITIES AND MODULUS-Single correct Answer
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