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Solve: x^2-(sqrt3+1)x+sqrt3 = 0...

Solve: `x^2-(sqrt3+1)x+sqrt3 = 0`

A

`x=-sqrt(3)" or "x=-1`

B

`x=-sqrt(3)" or "x=1`

C

`x=sqrt(3)" or "x=-1`

D

`x=sqrt(3)" or "x=1`

Text Solution

Verified by Experts

The correct Answer is:
D
`x^(2)-(sqrt(3)+1)x+sqrt(3)=0`
`implies" "x^(2)-sqrt(3)x-x+sqrt(3)=0impliesx(x-sqrt(3))-(x-sqrt(3))=0`
`implies" "(x-sqrt(3))(x-1)=0impliesx=sqrt(3)" or "x=1.`
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