To find the x-intercept(s), substitute in for and solve for .

Solve the equation.

Rewrite the equation as .

Factor each term.

Rewrite as .

Since both terms are perfect squares, factor using the difference of squares formula, where and .

Rewrite as .

Since both terms are perfect squares, factor using the difference of squares formula, where and .

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

The LCM is the smallest positive number that all of the numbers divide into evenly.

1. List the prime factors of each number.

2. Multiply each factor the greatest number of times it occurs in either number.

The number is not a prime number because it only has one positive factor, which is itself.

Not prime

The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.

The factor for is itself.

occurs time.

The factor for is itself.

occurs time.

The LCM of is the result of multiplying all factors the greatest number of times they occur in either term.

Multiply each term by and simplify.

Multiply each term in by in order to remove all the denominators from the equation.

Simplify .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify terms.

Combine the opposite terms in .

Reorder the factors in the terms and .

Add and .

Add and .

Simplify each term.

Multiply by .

Multiply by .

Simplify .

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify terms.

Combine the opposite terms in .

Reorder the factors in the terms and .

Add and .

Add and .

Simplify each term.

Multiply by .

Multiply by .

Multiply by .

Solve the equation.

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.

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 .

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.

x-intercept(s) in point form.

x-intercept(s):

x-intercept(s):

To find the y-intercept(s), substitute in for and solve for .

Solve the equation.

Remove parentheses.

Simplify .

Simplify the numerator.

Raising to any positive power yields .

Subtract from .

Simplify the denominator.

Raising to any positive power yields .

Subtract from .

Dividing two negative values results in a positive value.

y-intercept(s) in point form.

y-intercept(s):

y-intercept(s):

List the intersections.

x-intercept(s):

y-intercept(s):

Find the X and Y Intercepts y=(x^2-16)/(x^2-9)