Precalculus Examples

,
Simplify the left side.
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Apply the distributive property.
Use the power rule to combine exponents.
Add and to get .
Move to the left of the expression .
Multiply by to get .
Move to the left side of the equation by subtracting it from both sides.
Use the quadratic formula to find the solutions.
Substitute the values , , and into the quadratic formula and solve for .
Simplify.
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Simplify the numerator.
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Raise to the power of to get .
Multiply by to get .
Multiply by to get .
Add and to get .
Rewrite as .
Pull terms out from under the radical.
Simplify the denominator.
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Rewrite.
Multiply by to get .
Simplify .
The final answer is the combination of both solutions.
The interval contains . Add it to the final solution.
is on the interval
The interval does not contain . It is not part of the final solution.
is not on the interval
The final solution for within the interval is .
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