Write as a Function of y x^2+y^2=25

Problem

x2+y2=25

Solution

1. Isolate the x2 term by subtracting y2 from both sides of the equation.

x2=25−y2

2. Solve for x by taking the square root of both sides.

x=±√(,25−y2)

3. Express the result as a function of y noting that this relation represents two separate functions (the positive and negative branches).

x(y)=±√(,25−y2)

Final Answer

x=±√(,25−y2)

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