The third proportional to x2-y2, x-y is?x+yx-y(x – y)/(x + y)1
Question
The third proportional to x2-y2, x-y is?x+yx-y(x – y)/(x + y)1
Solution
The third proportional to x^2 - y^2 and x - y is found by the formula:
If a : b = b : c, then c = b^2 / a
Here, a = x^2 - y^2 and b = x - y
So, the third proportional, c = (x - y)^2 / (x^2 - y^2)
This simplifies to c = (x^2 - 2xy + y^2) / (x^2 - y^2)
This is the third proportional to x^2 - y^2 and x - y.
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