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Question
`10x1/x=3`
Solution
Given:
`10x1/x=3`
`⇒10x^2-1=3x`
⇒`10x^2-3x-1=0`
⇒`10x^2(5x-2x)-1=0`
⇒`10x^2-5x+2x-1=0`
⇒`5x(2x-1)+1(2x+1)=0`
⇒`(2x-1) (5x-1)=0`
⇒`2x-1=0` or `5x+1=0`
⇒`x=1/2` or `x=-1/5`
Hence, the roots of the equation are `1/2` and `(-1)/5`
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