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secondary 2 | Maths
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Date Posted: 4 years ago
Views: 214
9x²y² - 12xy + 4 = 0
We can rewrite this as
9 * (xy)² - 12xy + 4 = 0
Let u = xy
9u² - 12u + 4 = 0
Factorising,
(3u - 2) (3u - 2) = 0
(3u - 2)² = 0
This means that
3u - 2 = 0
3u = 2
u = ⅔
Reverting back to x and y, since u = xy,
xy = ⅔
y = ⅔ divided by x
y = 2 divided by (3x)
We can rewrite this as
9 * (xy)² - 12xy + 4 = 0
Let u = xy
9u² - 12u + 4 = 0
Factorising,
(3u - 2) (3u - 2) = 0
(3u - 2)² = 0
This means that
3u - 2 = 0
3u = 2
u = ⅔
Reverting back to x and y, since u = xy,
xy = ⅔
y = ⅔ divided by x
y = 2 divided by (3x)
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Hope this helps :)
Date Posted:
4 years ago
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