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Factorize: x^4 +x^2 +25=0....

Factorize: `x^4 +x^2 +25=0`.

Text Solution

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`x^4+x^2+25`
`=x^4+10x^2+25−9x^2`
`=(x^2+5)^2−(3x)^2`
`=(x^2+5−3x)(x^2+5+3x)`
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