Question

X² - y² = z²
Express y in terms of x and z.
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Answer 1

y= ±
`√(x^2-z^2)`

Explanation:

Given

x² - y² = z² ( isolate y² by subtracting x² from both sides )

-y² = z² - x² ( multiply through by - 1 )

y² = x² - z² ( take the square root of both sides )

y = ±
`√(x^2-z^2)`

Answer 2

y² = x² - z²

Explanation:

x² - y² = z²

Transpose y the other side

x² - z² = y²

or

y² = x² - z²