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Question
`sqrt3x^2+10x7sqrt3=0`
Solution
We Write : `10xx=3x+7x` as ` sqrt3x^2xx7sqrt3=21x^2=3xxx7x`
∴ `sqrt3x^2+10x+7sqrt3=0`
⇒`sqrt3x^2+3x+7x+7sqrt3=0`
⇒`sqrt3x(x+sqrt3)+7(x+sqrt3)=0`
⇒`(x+sqrt3)(sqrt3x+7)=0`
⇒`x+3sqrt3=0` or `sqrt3x+7=0`
⇒`x=-sqrt3 or x=7/sqrt3=(-7 sqrt3)/3`
Hence, the roots of the given equation are `-sqrt3` and `-7sqrt3/3`
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