Basic Math Examples

Solve for a 8^2=a^2+11( square root of 5)^2
Step 1
Rewrite the equation as .
Step 2
Simplify each term.
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Step 2.1
Rewrite as .
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Step 2.1.1
Use to rewrite as .
Step 2.1.2
Apply the power rule and multiply exponents, .
Step 2.1.3
Combine and .
Step 2.1.4
Cancel the common factor of .
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Step 2.1.4.1
Cancel the common factor.
Step 2.1.4.2
Rewrite the expression.
Step 2.1.5
Evaluate the exponent.
Step 2.2
Multiply by .
Step 3
Raise to the power of .
Step 4
Move all terms not containing to the right side of the equation.
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Step 4.1
Subtract from both sides of the equation.
Step 4.2
Subtract from .
Step 5
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 6
Simplify .
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Step 6.1
Rewrite as .
Step 6.2
Pull terms out from under the radical, assuming positive real numbers.
Step 7
The complete solution is the result of both the positive and negative portions of the solution.
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Step 7.1
First, use the positive value of the to find the first solution.
Step 7.2
Next, use the negative value of the to find the second solution.
Step 7.3
The complete solution is the result of both the positive and negative portions of the solution.