# 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

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 .

Add and .

Add and .

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 .

Add and .

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 .

Add and .

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 .

Add and .

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):

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 .

Add 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 .

Add and .

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 .

Add and .

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 .

Add and .

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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