y ∝ 1/x² = 4 when x = 3 find the value of x when y = 9?
- x = 2
- x = 4
- x = 9
- None of these
Explanation
Given y ∝ 1/x², we can write:
y = k/x²
Step 1: Find k
When y = 4 and x = 3:
4 = k/3²
k = 4 × 9
k = 36
Step 2: Find x when y = 9
9 = 36/x²
x² = 36/9
x² = 4
x = 2
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- (t² + 4)(t - 2)(t - 2)
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- +4
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- None of these
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