Question

25. If one zero of quadratic polynomial x^2-x-k is the square of other, then findk
(2)2 = 3
(0)2-15

Answer 1

Step-by-step explanation:

if one zero is alpha then the another zero is alpha²

x² - x - k

a = 1

b = -1

c = -k

alpha + alpha ² = -(-1)/1

alpha ( 1+ alpha) = -1

alpha = -1

x² - x - k

(-1)² -(-1) - k

1+1 - k = 0

k = 2

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