Finite Math Examples

Find the Roots (Zeros) f(x)=(x-1)e^(3-x)
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
Add to both sides of the equation.
Step 2.3
Set equal to and solve for .
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Step 2.3.1
Set equal to .
Step 2.3.2
Solve for .
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Step 2.3.2.1
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Step 2.3.2.2
The equation cannot be solved because is undefined.
Undefined
Step 2.3.2.3
There is no solution for
No solution
No solution
No solution
Step 2.4
The final solution is all the values that make true.
Step 3