Finite Math Examples

Find the Roots (Zeros) g(x)=(x-3)^2-4
Step 1
Set equal to .
Step 2
Solve for .
Tap for more steps...
Step 2.1
Add to both sides of the equation.
Step 2.2
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 2.3
Simplify .
Tap for more steps...
Step 2.3.1
Rewrite as .
Step 2.3.2
Pull terms out from under the radical, assuming positive real numbers.
Step 2.4
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
Step 2.4.1
First, use the positive value of the to find the first solution.
Step 2.4.2
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 2.4.2.1
Add to both sides of the equation.
Step 2.4.2.2
Add and .
Step 2.4.3
Next, use the negative value of the to find the second solution.
Step 2.4.4
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 2.4.4.1
Add to both sides of the equation.
Step 2.4.4.2
Add and .
Step 2.4.5
The complete solution is the result of both the positive and negative portions of the solution.
Step 3