Finite Math Examples

Solve for x x^2-2xr+w^2=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
Rewrite as .
Step 3.1.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 3.1.3
Simplify.
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Step 3.1.3.1
Factor out of .
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Step 3.1.3.1.1
Factor out of .
Step 3.1.3.1.2
Factor out of .
Step 3.1.3.1.3
Factor out of .
Step 3.1.3.2
Multiply by .
Step 3.1.3.3
Combine exponents.
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Step 3.1.3.3.1
Multiply by .
Step 3.1.3.3.2
Multiply by .
Step 3.1.4
Factor out of .
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Step 3.1.4.1
Factor out of .
Step 3.1.4.2
Factor out of .
Step 3.1.4.3
Factor out of .
Step 3.1.5
Multiply by .
Step 3.1.6
Rewrite as .
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Step 3.1.6.1
Rewrite as .
Step 3.1.6.2
Add parentheses.
Step 3.1.7
Pull terms out from under the radical.
Step 3.2
Multiply by .
Step 3.3
Simplify .
Step 4
The final answer is the combination of both solutions.