Finite Math Examples

Solve by Factoring x^2-2x+82=0
Step 1
Use the quadratic formula to find the solutions.
Step 2
Substitute the values , , and into the quadratic formula and solve for .
Step 3
Simplify.
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Step 3.1
Simplify the numerator.
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Step 3.1.1
Raise to the power of .
Step 3.1.2
Multiply .
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Step 3.1.2.1
Multiply by .
Step 3.1.2.2
Multiply by .
Step 3.1.3
Subtract from .
Step 3.1.4
Rewrite as .
Step 3.1.5
Rewrite as .
Step 3.1.6
Rewrite as .
Step 3.1.7
Rewrite as .
Step 3.1.8
Pull terms out from under the radical, assuming positive real numbers.
Step 3.1.9
Move to the left of .
Step 3.2
Multiply by .
Step 3.3
Simplify .
Step 4
Simplify the expression to solve for the portion of the .
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Step 4.1
Simplify the numerator.
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Step 4.1.1
Raise to the power of .
Step 4.1.2
Multiply .
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Step 4.1.2.1
Multiply by .
Step 4.1.2.2
Multiply by .
Step 4.1.3
Subtract from .
Step 4.1.4
Rewrite as .
Step 4.1.5
Rewrite as .
Step 4.1.6
Rewrite as .
Step 4.1.7
Rewrite as .
Step 4.1.8
Pull terms out from under the radical, assuming positive real numbers.
Step 4.1.9
Move to the left of .
Step 4.2
Multiply by .
Step 4.3
Simplify .
Step 4.4
Change the to .
Step 5
Simplify the expression to solve for the portion of the .
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Step 5.1
Simplify the numerator.
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Step 5.1.1
Raise to the power of .
Step 5.1.2
Multiply .
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Step 5.1.2.1
Multiply by .
Step 5.1.2.2
Multiply by .
Step 5.1.3
Subtract from .
Step 5.1.4
Rewrite as .
Step 5.1.5
Rewrite as .
Step 5.1.6
Rewrite as .
Step 5.1.7
Rewrite as .
Step 5.1.8
Pull terms out from under the radical, assuming positive real numbers.
Step 5.1.9
Move to the left of .
Step 5.2
Multiply by .
Step 5.3
Simplify .
Step 5.4
Change the to .
Step 6
The final answer is the combination of both solutions.