How do you solve #1/(x+3)+1/(x+5)=1#?
2 Answers
There are two values of
Explanation:
Lots of ways to solve this. I'm going to try to do it the easiest way I know how.
First subtract
Now combine the two terms on the right-hand side of the equation.
Simplify the numerator on the right-hand side.
Multiply both sides by
Multiply both sides by
Now expand the right hand side.
Put this quadratic equation in standard form.
Use the quadratic formula to determine
So there are two values of
Explanation:
Given:
One way to solve is to eliminate the denominators by multiplying both sides of the equation by the common denominator.
The common denominator =
Distribute and cancel:
:
Add like terms and use FOIL
Subtract
Use the quadratic formula to solve for
where the equation is in the form