Problem 1026

Solve for the specified variable.

w2   + y2 = z2 for y




First isolate the term y2 on the left side of the equation.

w2   + y2 = z2

y2 = z2 – w2

Use the square root property and simplify. Let k be a nonnegative number. Then the solution to the equation x2 = k are given by x = ±\sqrt{k}.

y2 = z2 – w2

y = ± \sqrt{z^{2}-w^{2}}.


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