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Question
Make x the subject of formula `"a"x^2/"a"^2 + y^2/"b"^2` = 1
Solution
`"x"^2/"a"^2 + "y"^2/"b"^2` = 1
⇒ `x^2/"a"^2 = 1 - y^2/"b"^2`
⇒ x2 = `"a"^2(1 - y^2/"b"^2) = "a"^2(("b"^2 - y^2)/"b"^2)`
Taking square root both sides
⇒ x = `sqrt("a"^2(("b"^2 - y^2)/"b"^2)`
= `"a"/"b" sqrt("b"^2 - y^2)`.
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