513 and-F If and are the zeroes of a polynomial p(x), then p(x) is
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k = ± 9.69
Given
α and β are the zeroes of quadratic polynomial x² - kx + 15
such that ( α² + β² ) - 2αβ = 34 .
To Find
Value of k
Solution
Given quadratic polynomial is x² - kx + 15
Compare given equation with ax² + bx + c , we get ,
a = 1 , b = - k , c = 15
Also given α , β are zeroes of the quadratic equation .
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