If x varies inversely as (y2 - 1) and is equal to 24 when y = 10, the value of x when y = 5 will be ?

Question

If x varies inversely as (y2 - 1) and is equal to 24 when y = 10, the value of x when y = 5 will be ?
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Solution 1

The problem states that x varies inversely as (y^2 - 1). This can be written as:

x = k / (y^2 - 1)

where k is the constant of variation.

We know that x = 24 when y = 10. We can substitute these values into the equation to find k:

24 = k / (10^2 - 1) 24 = k / 99 k = 24 * 99 k = 2376

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