Find the X and Y Intercepts (x^2)/(x^2-x-20)

Math
Write as an equation.
Find the x-intercepts.
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To find the x-intercept(s), substitute in for and solve for .
Solve the equation.
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Rewrite the equation as .
Factor using the AC method.
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Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
Find the LCD of the terms in the equation.
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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.
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Multiply each term in by in order to remove all the denominators from the equation.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify .
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Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply by .
Move to the left of .
Multiply by .
Subtract from .
Multiply by .
Solve the equation.
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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.
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Simplify the right side of the equation.
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Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
is equal to .
Verify each of the solutions by substituting them into and solving.
x-intercept(s) in point form.
x-intercept(s):
x-intercept(s):
Find the y-intercepts.
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To find the y-intercept(s), substitute in for and solve for .
Solve the equation.
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Remove parentheses.
Simplify .
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Raising to any positive power yields .
Simplify the denominator.
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Raising to any positive power yields .
Multiply by .
Add and .
Subtract from .
Divide by .
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 (x^2)/(x^2-x-20)

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