# Find the x and y Intercepts (x^2+y^2-6x)^2=36x^2+36y^2

Find the x and y Intercepts (x^2+y^2-6x)^2=36x^2+36y^2
Find the x-intercepts.
To find the x-intercept(s), substitute in for and solve for .
Solve the equation.
Simplify .
Raising to any positive power yields .
Simplify .
Simplify each term.
Raising to any positive power yields .
Multiply by .
Move all terms containing to the left side of the equation.
Subtract from both sides of the equation.
Simplify each term.
Rewrite as .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply by by adding the exponents.
Use the power rule to combine exponents.
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Move .
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Multiply by by adding the exponents.
Move .
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Move .
Multiply by .
Multiply by .
Subtract from .
Combine the opposite terms in .
Subtract from .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set equal to and solve for .
Set equal to .
Solve for .
Take the cube root of both sides of the equation to eliminate the exponent on the left side.
Simplify .
Rewrite as .
Pull terms out from under the radical, assuming real numbers.
Set equal to and solve for .
Set equal to .
Add to both sides of the equation.
The final solution is all the values that make true.
x-intercept(s) in point form.
x-intercept(s):
x-intercept(s):
Find the y-intercepts.
To find the y-intercept(s), substitute in for and solve for .
Solve the equation.
Simplify .
Rewrite.
Simplify each term.
Raising to any positive power yields .
Multiply by .
Combine the opposite terms in .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Multiply by .
Simplify .
Simplify each term.
Raising to any positive power yields .
Multiply by .
Subtract from both sides of the equation.
Factor the left side of the equation.
Rewrite as .
Let . Substitute for all occurrences of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Replace all occurrences of with .
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set equal to and solve for .
Set equal to .
Solve for .
Take the square root of both sides of the equation to eliminate the exponent on the left side.
Simplify .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Plus or minus is .
Set equal to and solve for .
Set equal to .
Solve for .
Add to both sides of the equation.
Take the square root of both sides of the equation to eliminate the exponent on the left side.
Simplify .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
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 final solution is all the values that make true.
y-intercept(s) in point form.
y-intercept(s):
y-intercept(s):
List the intersections.
x-intercept(s):
y-intercept(s):
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