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Question
If one zero of the polynomial x2 – 4x + 1 is `(2 + sqrt(3))`, write the other zero.
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Solution
Let the other zeroes of x2 – 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 + sqrt(3) + a = -((-4))/1`
⇒ `a = 2 - sqrt(3)`
Hence, the other zeroes of x2 – 4x + 1 is `(2 - sqrt(3))`.
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