Finite Math Examples

Solve for x (6-x)^2=13
Step 1
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 2
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
Step 2.1
First, use the positive value of the to find the first solution.
Step 2.2
Subtract from both sides of the equation.
Step 2.3
Divide each term in by and simplify.
Tap for more steps...
Step 2.3.1
Divide each term in by .
Step 2.3.2
Simplify the left side.
Tap for more steps...
Step 2.3.2.1
Dividing two negative values results in a positive value.
Step 2.3.2.2
Divide by .
Step 2.3.3
Simplify the right side.
Tap for more steps...
Step 2.3.3.1
Simplify each term.
Tap for more steps...
Step 2.3.3.1.1
Move the negative one from the denominator of .
Step 2.3.3.1.2
Rewrite as .
Step 2.3.3.1.3
Divide by .
Step 2.4
Next, use the negative value of the to find the second solution.
Step 2.5
Subtract from both sides of the equation.
Step 2.6
Divide each term in by and simplify.
Tap for more steps...
Step 2.6.1
Divide each term in by .
Step 2.6.2
Simplify the left side.
Tap for more steps...
Step 2.6.2.1
Dividing two negative values results in a positive value.
Step 2.6.2.2
Divide by .
Step 2.6.3
Simplify the right side.
Tap for more steps...
Step 2.6.3.1
Simplify each term.
Tap for more steps...
Step 2.6.3.1.1
Dividing two negative values results in a positive value.
Step 2.6.3.1.2
Divide by .
Step 2.6.3.1.3
Divide by .
Step 2.7
The complete solution is the result of both the positive and negative portions of the solution.
Step 3
The result can be shown in multiple forms.
Exact Form:
Decimal Form: