Precalculus Examples

Solve for x square root of x^2+15-4=0
Step 1
Use to rewrite as .
Step 2
Add to both sides of the equation.
Step 3
Raise each side of the equation to the power of to eliminate the fractional exponent on the left side.
Step 4
Simplify the exponent.
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Step 4.1
Simplify the left side.
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Step 4.1.1
Simplify .
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Step 4.1.1.1
Multiply the exponents in .
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Step 4.1.1.1.1
Apply the power rule and multiply exponents, .
Step 4.1.1.1.2
Cancel the common factor of .
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Step 4.1.1.1.2.1
Cancel the common factor.
Step 4.1.1.1.2.2
Rewrite the expression.
Step 4.1.1.2
Simplify.
Step 4.2
Simplify the right side.
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Step 4.2.1
Raise to the power of .
Step 5
Solve for .
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Step 5.1
Move all terms not containing to the right side of the equation.
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Step 5.1.1
Subtract from both sides of the equation.
Step 5.1.2
Subtract from .
Step 5.2
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 5.3
Any root of is .
Step 5.4
The complete solution is the result of both the positive and negative portions of the solution.
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Step 5.4.1
First, use the positive value of the to find the first solution.
Step 5.4.2
Next, use the negative value of the to find the second solution.
Step 5.4.3
The complete solution is the result of both the positive and negative portions of the solution.