Finite Math Examples

Find the Roots (Zeros) f(x)=-2(x-1)^2+4
Step 1
Set equal to .
Step 2
Solve for .
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Step 2.1
Simplify .
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Step 2.1.1
Simplify each term.
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Step 2.1.1.1
Rewrite as .
Step 2.1.1.2
Expand using the FOIL Method.
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Step 2.1.1.2.1
Apply the distributive property.
Step 2.1.1.2.2
Apply the distributive property.
Step 2.1.1.2.3
Apply the distributive property.
Step 2.1.1.3
Simplify and combine like terms.
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Step 2.1.1.3.1
Simplify each term.
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Step 2.1.1.3.1.1
Multiply by .
Step 2.1.1.3.1.2
Move to the left of .
Step 2.1.1.3.1.3
Rewrite as .
Step 2.1.1.3.1.4
Rewrite as .
Step 2.1.1.3.1.5
Multiply by .
Step 2.1.1.3.2
Subtract from .
Step 2.1.1.4
Apply the distributive property.
Step 2.1.1.5
Simplify.
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Step 2.1.1.5.1
Multiply by .
Step 2.1.1.5.2
Multiply by .
Step 2.1.2
Add and .
Step 2.2
Graph each side of the equation. The solution is the x-value of the point of intersection.
Step 3
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Step 4