Finite Math Examples

Find the Roots (Zeros) f(x)=x^2(x-2)(x-1)
Step 1
Set equal to .
Step 2
Solve for .
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Step 2.1
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Step 2.2
Set equal to and solve for .
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Step 2.2.1
Set equal to .
Step 2.2.2
Solve for .
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Step 2.2.2.1
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 2.2.2.2
Simplify .
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Step 2.2.2.2.1
Rewrite as .
Step 2.2.2.2.2
Pull terms out from under the radical, assuming positive real numbers.
Step 2.2.2.2.3
Plus or minus is .
Step 2.3
Set equal to and solve for .
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Step 2.3.1
Set equal to .
Step 2.3.2
Add to both sides of the equation.
Step 2.4
Set equal to and solve for .
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Step 2.4.1
Set equal to .
Step 2.4.2
Add to both sides of the equation.
Step 2.5
The final solution is all the values that make true.
Step 3