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Question
If one zero of the polynomial `x^2-4x+1 is (2+sqrt3)` , write the other zero.
Solution
Let the other zeroes of `x^2 – 4x + 1` be a.
By using the relationship between the zeroes of the quadratic polynomial.
We have, sum of zeroes =`(-("Coefficient of x"))/(("Coefficient of" x^2))`
∴` 2+sqrt3+a=-((-4))/1`
⇒` a = 2 – sqrt3`
Hence, the other zeroes of` x^2 – 4x + 1 is 2 – sqrt3`
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