Calculus Examples

Find the Intersection of the Functions
,
Substitute for .
Solve for .
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Subtract from both sides of the equation.
Move to the left side of the equation by subtracting it from both sides.
Subtract from .
Factor the left side of the equation.
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Factor out of .
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Reorder and .
Factor out of .
Factor out of .
Rewrite as .
Factor out of .
Factor out of .
Factor using the perfect square rule.
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Rewrite as .
Rewrite as .
Check the middle term by multiplying and compare this result with the middle term in the original expression.
Simplify.
Factor using the perfect square trinomial rule , where and .
Multiply each term in by
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Multiply each term in by .
Multiply .
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Multiply by .
Multiply by .
Multiply by .
Set the equal to .
Solve for .
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Add to both sides of the equation.
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
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