Basic Math Examples

Solve for y 1/2y^2-y+5=0
Step 1
Combine and .
Step 2
Multiply through by the least common denominator , then simplify.
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Step 2.1
Apply the distributive property.
Step 2.2
Simplify.
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Step 2.2.1
Cancel the common factor of .
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Step 2.2.1.1
Cancel the common factor.
Step 2.2.1.2
Rewrite the expression.
Step 2.2.2
Multiply by .
Step 2.2.3
Multiply by .
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
Subtract from .
Step 5.1.4
Rewrite as .
Step 5.1.5
Rewrite as .
Step 5.1.6
Rewrite as .
Step 5.1.7
Rewrite as .
Step 5.1.8
Pull terms out from under the radical, assuming positive real numbers.
Step 5.1.9
Move to the left of .
Step 5.2
Multiply by .
Step 5.3
Simplify .
Step 6
The final answer is the combination of both solutions.