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Find the zeroes of f(x)=x^2-(sqrt3+1)x+...

Find the zeroes of `f(x)=x^2-(sqrt3+1)x+sqrt3` and verify the relationship between zeroes and coefficients

Text Solution

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`f(x) = x^2-(sqrt3+1)x+sqrt3`
To find zeroes, we will make `f(x) = 0`
`:. x^2-(sqrt3+1)x+sqrt3 = 0`
`=>x(x-sqrt3)-1(x-sqrt3) = 0`
`=>(x-1)(x-sqrt3) = 0`
`=> x = 1 and x = sqrt3`
So, zeroes of `f(x)` are `1 and sqrt3`.
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