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Question
Make a the subject of formula x = `sqrt(("a" + "b")/("a" - "b")`
Solution
x = `sqrt(("a" + "b")/("a" - "b")`
Squaring both sides
⇒ x2 = `("a" + "b")/("a" - "b")`
⇒ x2 (a - b) = a + b
⇒ x2a - x2b = a + b
⇒ x2a - a = b + x2b
⇒ a(x2 - 1) = b(x2 + 1)
⇒ a = `("b"(x^2 + 1))/((x^2 - 1)`.
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