Algebra Examples

,
Step 1
Rewrite the equation as .
Step 2
Divide each term in by and simplify.
Tap for more steps...
Step 2.1
Divide each term in by .
Step 2.2
Simplify the left side.
Tap for more steps...
Step 2.2.1
Cancel the common factor of .
Tap for more steps...
Step 2.2.1.1
Cancel the common factor.
Step 2.2.1.2
Divide by .
Step 2.3
Simplify the right side.
Tap for more steps...
Step 2.3.1
Divide by .
Step 3
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 4
Simplify .
Tap for more steps...
Step 4.1
Rewrite as .
Step 4.2
Pull terms out from under the radical, assuming positive real numbers.
Step 5
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
Step 5.1
First, use the positive value of the to find the first solution.
Step 5.2
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 5.2.1
Subtract from both sides of the equation.
Step 5.2.2
Subtract from .
Step 5.3
Divide each term in by and simplify.
Tap for more steps...
Step 5.3.1
Divide each term in by .
Step 5.3.2
Simplify the left side.
Tap for more steps...
Step 5.3.2.1
Cancel the common factor of .
Tap for more steps...
Step 5.3.2.1.1
Cancel the common factor.
Step 5.3.2.1.2
Divide by .
Step 5.3.3
Simplify the right side.
Tap for more steps...
Step 5.3.3.1
Move the negative in front of the fraction.
Step 5.4
Next, use the negative value of the to find the second solution.
Step 5.5
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 5.5.1
Subtract from both sides of the equation.
Step 5.5.2
Subtract from .
Step 5.6
Divide each term in by and simplify.
Tap for more steps...
Step 5.6.1
Divide each term in by .
Step 5.6.2
Simplify the left side.
Tap for more steps...
Step 5.6.2.1
Cancel the common factor of .
Tap for more steps...
Step 5.6.2.1.1
Cancel the common factor.
Step 5.6.2.1.2
Divide by .
Step 5.6.3
Simplify the right side.
Tap for more steps...
Step 5.6.3.1
Move the negative in front of the fraction.
Step 5.7
The complete solution is the result of both the positive and negative portions of the solution.
Step 6
Find the values of that produce a value within the interval .
Tap for more steps...
Step 6.1
The interval does not contain . It is not part of the final solution.
is not on the interval
Step 6.2
The interval contains .
Enter YOUR Problem
Mathway requires javascript and a modern browser.