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Question
`x^2+8x-2=0`
Solution
`x^2+8x-2=0`
⇒`x^2+8x=2`
⇒`x^2+2xx x xx4+4^2=2+4^2`
⇒`(x+4)^2=2+16=18`
⇒`x+4=+-sqrt18=+-3sqrt2`
⇒`x+4=3sqrt2 or x+4=-3sqrt2`
⇒`x=-4+3sqrt2 or x=-4-3sqrt2`
Hence, `(-4+3sqrt2) and (-4-3sqrt2)` are the roots of the given equation.
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