If one of the zeroes of x^2-4x+1 is 2+/3 find the other zero
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Hi there !!
p(x) = x² - 4x + 1
Let ,
α = 2 + √3
Other zero = β
Sum of zeroes = α + β = -b/a
= - [-4/1]
= 4
2 +√3 + β = 4
√3 + β = 2
β = 2 - √3
Other zero = 2 - √3
p(x) = x² - 4x + 1
Let ,
α = 2 + √3
Other zero = β
Sum of zeroes = α + β = -b/a
= - [-4/1]
= 4
2 +√3 + β = 4
√3 + β = 2
β = 2 - √3
Other zero = 2 - √3
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