Posted by Josh on Thursday, December 6, 2012 at 12:36pm.
Get a common denominator
Drop it
Solve the numerator
Check your answer- if the answer makes the denominator equal to 0, then drop it (excluded value)
Do not forget 1 needs a common denominator
X-4=x-3-(x+2)
Common den is x+2
On the first factor out x+4
(x^2-16)/(x+4)(x+2) - (x-3)/(x+2) + 1 = 0
place all over a common denominator (x+4)(x+2)
(x^2-16) - (x-3)(x+2) + (x+4)(x+2)
----------------------------------- = 0
(x+4)(x+2)
(x^2-16-x^2+x+6+x^2+6x+8)/(x+4)(x+2) = 0
(x^2+5x+4)/(x+4)(x+2) = 0
(x+4)(x+1)/(x+4)(x+2) = 0
(x+1)/(x+2) = 0
So, f(x) = 0 when x = -1
Note that the domain excludes x = -4 and -2
Related Questions
Rational Inequities - Can you please check my answers? Solve the rational ...
Algebra - Can you please check my answers? Solve the rational inequality and ...
algebra - after solving a rational equation, why is it important to check your ...
Algebra - After solving a rational equation, why is it important to check your ...
6TH GR. ALGEBRA - EXTENDING THE LESSON If you add any two rational numbers, the...
algebra - Use the discriminant to determine the following equations have that ...
Algebra 1 - What is the solution set for an equation in which all numbers work? ...
math - can someone correct these for me. 8x –4y = 16 y = 2x –4 My ...
Algebra - Solve the system of equations: First:x+3y=5 Second:3x-y=5 multiply the...
Algebra - Help Pleasee! Rational Exponet equations 1. 3x^5/2- 9 = 0 2. (2x+3)^1/...
For Further Reading
