# Find the X and Y Intercepts x to the power of two plus y to the power of two plus six x minus six y minus forty-six equals zero

Find the X and Y Intercepts x^2+y^2+6x-6y-46=0
Calculate the x-intercepts.
To Calculate the x-intercept(s), substitute in for and Calculate .
Find solution to the equation.
Clarify .
Clarify each term.
Raising to any positive power yields .
First, multiply by .
Add the opposite terms in .
Apply the quadratic formula to solve the equation.
Substitute the values , , and into the quadratic formula and Calculate .
Simplify.
Clarify the numerator.
Raise to the power of .
Multiply by .
Multiply by .
Should be rewritten as .
Factor out of .
Rewrite as .
Withdraw terms from under the radical.
First, multiply by .
Simplify .
Clarify the expression to solve for the portion of the .
Simplify the numerator.
Raise to the power of .
Multiply by .
Multiply by .
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Simplify .
Change the to .
Simplify the expression to solve for the portion of the .
Simplify the numerator.
Raise to the power of .
Multiply by .
Multiply by .
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Simplify .
Change the to .
The combination of 2 solutions is the answer.
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 Calculate .
Solve the equation.
Simplify .
Simplify each term.
Raising to any positive power yields .
Multiply by .
Combine the opposite terms in .
Sum and .
Use the quadratic formula to find the solutions.
Substitute the values , , and into the quadratic formula and Calculate .
Simplify.
Simplify the numerator.
Raise to the power of .
Multiply by .
Multiply by .
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Simplify .
Simplify the expression to solve for the portion of the .
Simplify the numerator.
Raise to the power of .
Multiply by .
Multiply by .
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Simplify .
Change the to .
Simplify the expression to solve for the portion of the .
Simplify the numerator.
Raise to the power of .
Multiply by .
Multiply by .
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Simplify .
Change the to .
The final answer is the combination of both solutions.
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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