Algebra Examples

Solve Using the Quadratic Formula 16x^2-24x+9=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
Pull terms out from under the radical, assuming positive real numbers.
Step 3.1.6
plus or minus is .
Step 3.2
Multiply by .
Step 3.3
Cancel the common factor of and .
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Step 3.3.1
Factor out of .
Step 3.3.2
Cancel the common factors.
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Step 3.3.2.1
Factor out of .
Step 3.3.2.2
Cancel the common factor.
Step 3.3.2.3
Rewrite the expression.
Step 4
The final answer is the combination of both solutions.
Double roots