4x²-4x+1
verify the relationship between the zereos and coefficient
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Step-by-step explanation:
4x² - 4x + 1
Factorising:
4x² - 2x - 2x + 1 = 0
2x (2x - 1) -1 (2x - 1) = 0
(2x - 1) (2x - 1) = 0
x = 1/2 ; x = 1/2
Let alpha = 1/2 and beta = 1/2
We know that
alpha + beta = -b/a
= 1/2 + 1/2 = - (-4)/4
= 1 = 1
LHS = RHS
We know that
alpha × beta = c/a
= 1/2 × 1/2 = 1/4
= 1/4 = 1/4
LHS = RHS
Hence, verified.
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