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Solve for x, if |x^2 +3x+ 5|+ x^2 +3x+5...

Solve for x, if `|x^2 +3x+ 5|+ x^2 +3x+5= 0`.

Text Solution

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`|x^2+3x+5|+x^2+3x+5=0`
`|(x+3/2)^2+11/4|+x^2+3x+5=0`
`x^2+3x+5+x^2+3x+5=0`
`2(x^2+3x+5)=0`
`(x+3/2)+11/4=0`
`(x+3/2)^2=-11/4`
`x+3/2=pmsqrt11/2i`
`x=-3/2pmsqrt11/2i`.
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