Pre-Algebra Examples

Solve Using the Square Root Property (-x)^2+(-11+x)=40
Step 1
Simplify each term.
Tap for more steps...
Step 1.1
Apply the product rule to .
Step 1.2
Raise to the power of .
Step 1.3
Multiply by .
Step 2
Move all terms to the left side of the equation and simplify.
Tap for more steps...
Step 2.1
Subtract from both sides of the equation.
Step 2.2
Subtract from .
Step 3
Use the quadratic formula to find the solutions.
Step 4
Substitute the values , , and into the quadratic formula and solve for .
Step 5
Simplify.
Tap for more steps...
Step 5.1
Simplify the numerator.
Tap for more steps...
Step 5.1.1
One to any power is one.
Step 5.1.2
Multiply .
Tap for more steps...
Step 5.1.2.1
Multiply by .
Step 5.1.2.2
Multiply by .
Step 5.1.3
Add and .
Step 5.2
Multiply by .
Step 6
Simplify the expression to solve for the portion of the .
Tap for more steps...
Step 6.1
Simplify the numerator.
Tap for more steps...
Step 6.1.1
One to any power is one.
Step 6.1.2
Multiply .
Tap for more steps...
Step 6.1.2.1
Multiply by .
Step 6.1.2.2
Multiply by .
Step 6.1.3
Add and .
Step 6.2
Multiply by .
Step 6.3
Change the to .
Step 6.4
Rewrite as .
Step 6.5
Factor out of .
Step 6.6
Factor out of .
Step 6.7
Move the negative in front of the fraction.
Step 7
Simplify the expression to solve for the portion of the .
Tap for more steps...
Step 7.1
Simplify the numerator.
Tap for more steps...
Step 7.1.1
One to any power is one.
Step 7.1.2
Multiply .
Tap for more steps...
Step 7.1.2.1
Multiply by .
Step 7.1.2.2
Multiply by .
Step 7.1.3
Add and .
Step 7.2
Multiply by .
Step 7.3
Change the to .
Step 7.4
Rewrite as .
Step 7.5
Factor out of .
Step 7.6
Factor out of .
Step 7.7
Move the negative in front of the fraction.
Step 8
The final answer is the combination of both solutions.
Step 9
The result can be shown in multiple forms.
Exact Form:
Decimal Form: