Problem 1060

Solve for the specified variable.

w²  + y² = z² for y .

 

Solution:-

 

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 = ± .

y² = z² – w²

y = ±