Problem 1060

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

Subtract  w2 from both sides 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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