20分問題 maths

2012-08-22 5:22 am
Suppose ( x + 1 )^2 + ( y - 2 )^2 = 100, where y > 0.
Express y in terms of x.

回答 (1)

2012-08-22 9:20 pm
✔ 最佳答案
(x + 1)² + (y - 2)² = 100
(y - 2)² = 100 - (x + 1)²
(y - 2)² = (10 - (x + 1)) (10 + (x + 1))
y - 2 = √[(9 - x ) (11 + x)]
y = 2 + √[(9 - x ) (11 + x)]

2012-08-22 13:22:48 補充:
or

y - 2 = - √[(9 - x ) (11 + x)]
y = 2 - √[(9 - x ) (11 + x)] for √[(9 - x ) (11 + x)] < 2


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