# Solve for y (5/13)^2+y^2=1

Simplify each term.
Apply the product rule to .
Raise to the power of .
Raise to the power of .
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Simplify the right side of the equation.
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Subtract from .
Take the root of both sides of the to eliminate the exponent on the left side.
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite as .
Simplify the numerator.
Rewrite as .
Pull terms out from under the radical.
The absolute value is the distance between a number and zero. The distance between and is .
Simplify the denominator.
Rewrite as .
Pull terms out from under the radical.
The absolute value is the distance between a number and zero. The distance between and is .
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the to find the first solution.
Next, use the negative value of the to find the second solution.
The complete solution is the result of both the positive and negative portions of the solution.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Solve for y (5/13)^2+y^2=1

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