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secondary 3 | A Maths
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Date Posted: 4 years ago
Views: 198
8x² - x + 2 = 0
sum = α+β = 1/8
product = αβ = 2/8 = 1/4
mx² - 3x + n = 0
sum = α-2+β-2 = α+β-4 = 3/m
product = (α-2)(β-2) = n/m
(α-2)(β-2) = n/m
αβ-2α-2β +4 = n/m
1/4 - 2x1/8 + 4 = n/m
n/m = 4 . . . . . . . . . [1]
3/m = 1/8 - 4 = -31/8
m = -24/31 . . . . . . . . . [2]
sum = α+β = 1/8
product = αβ = 2/8 = 1/4
mx² - 3x + n = 0
sum = α-2+β-2 = α+β-4 = 3/m
product = (α-2)(β-2) = n/m
(α-2)(β-2) = n/m
αβ-2α-2β +4 = n/m
1/4 - 2x1/8 + 4 = n/m
n/m = 4 . . . . . . . . . [1]
3/m = 1/8 - 4 = -31/8
m = -24/31 . . . . . . . . . [2]
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Date Posted:
4 years ago
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