Finite Math Examples

Solve for y x^2-2x-14+y^2-2y=0
Step 1
Use the quadratic formula to find the solutions.
Step 2
Substitute the values , , and into the quadratic formula and solve for .
Step 3
Simplify.
Tap for more steps...
Step 3.1
Simplify the numerator.
Tap for more steps...
Step 3.1.1
Raise to the power of .
Step 3.1.2
Multiply by .
Step 3.1.3
Apply the distributive property.
Step 3.1.4
Simplify.
Tap for more steps...
Step 3.1.4.1
Multiply by .
Step 3.1.4.2
Multiply by .
Step 3.1.5
Add and .
Step 3.1.6
Rewrite in a factored form.
Tap for more steps...
Step 3.1.6.1
Factor out of .
Tap for more steps...
Step 3.1.6.1.1
Factor out of .
Step 3.1.6.1.2
Factor out of .
Step 3.1.6.1.3
Factor out of .
Step 3.1.6.1.4
Factor out of .
Step 3.1.6.1.5
Factor out of .
Step 3.1.6.2
Factor by grouping.
Tap for more steps...
Step 3.1.6.2.1
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
Tap for more steps...
Step 3.1.6.2.1.1
Factor out of .
Step 3.1.6.2.1.2
Rewrite as plus
Step 3.1.6.2.1.3
Apply the distributive property.
Step 3.1.6.2.2
Factor out the greatest common factor from each group.
Tap for more steps...
Step 3.1.6.2.2.1
Group the first two terms and the last two terms.
Step 3.1.6.2.2.2
Factor out the greatest common factor (GCF) from each group.
Step 3.1.6.2.3
Factor the polynomial by factoring out the greatest common factor, .
Step 3.1.7
Rewrite as .
Tap for more steps...
Step 3.1.7.1
Rewrite as .
Step 3.1.7.2
Add parentheses.
Step 3.1.8
Pull terms out from under the radical.
Step 3.2
Multiply by .
Step 3.3
Simplify .
Step 4
The final answer is the combination of both solutions.