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Question
`x^2+6x+5=0`
Solution
We write,` 6x=x+5x as x^2=x xx5x^2=x xx 5x`
∴` x^2+6x+5=0`
⇒` x^2+x-5x+5=0`
⇒`x(x+1)+5(x+1)=0`
⇒`(x+1)(x+5)=0`
`⇒x+1=0 or x+5=0 `
⇒`x=-1 or x=-5`
Hence, the roots of the given equation are -1 and -5.
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