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Question
Solve `x^2-(sqrt3+1)x+sqrt3=0`
Solution
`x^2-(sqrt3+1)x+sqrt3=0`
⇒ `x^2-sqrt3x-x+sqrt3=0`
⇒`x(x-sqrt3)-1(x-sqrt3)=0`
⇒` (x-sqrt3) (x-1)=0`
⇒`x-sqrt3=0 or x-1=0`
⇒` x=sqrt3 or x=1`
Hence, `1 and sqrt3` are the roots of the given equation.
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