Pre-Algebra Examples

Solve Using the Square Root Property 10=-5x^2+23x+23
Step 1
Rewrite the equation as .
Step 2
Move all terms to the left side of the equation and simplify.
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Step 2.1
Subtract from both sides of the equation.
Step 2.2
Subtract from .
Step 3
Use the quadratic formula to find the solutions.
Step 4
Substitute the values , , and into the quadratic formula and solve for .
Step 5
Simplify.
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Step 5.1
Simplify the numerator.
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Step 5.1.1
Raise to the power of .
Step 5.1.2
Multiply .
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Step 5.1.2.1
Multiply by .
Step 5.1.2.2
Multiply by .
Step 5.1.3
Add and .
Step 5.2
Multiply by .
Step 5.3
Simplify .
Step 6
Simplify the expression to solve for the portion of the .
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Step 6.1
Simplify the numerator.
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Step 6.1.1
Raise to the power of .
Step 6.1.2
Multiply .
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Step 6.1.2.1
Multiply by .
Step 6.1.2.2
Multiply by .
Step 6.1.3
Add and .
Step 6.2
Multiply by .
Step 6.3
Simplify .
Step 6.4
Change the to .
Step 7
Simplify the expression to solve for the portion of the .
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Step 7.1
Simplify the numerator.
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Step 7.1.1
Raise to the power of .
Step 7.1.2
Multiply .
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Step 7.1.2.1
Multiply by .
Step 7.1.2.2
Multiply by .
Step 7.1.3
Add and .
Step 7.2
Multiply by .
Step 7.3
Simplify .
Step 7.4
Change the to .
Step 8
The final answer is the combination of both solutions.
Step 9
The result can be shown in multiple forms.
Exact Form:
Decimal Form: