Algebra 2 Rational Equations
posted by Josh .
What is the solution set of the equation?
I know the answer is {1} I just don't know how to get there.
X^216 x3
 =  1
(x+4)(x+2) (x+2)

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

X4=x3(x+2)
Common den is x+2
On the first factor out x+4 
(x^216)/(x+4)(x+2)  (x3)/(x+2) + 1 = 0
place all over a common denominator (x+4)(x+2)
(x^216)  (x3)(x+2) + (x+4)(x+2)
 = 0
(x+4)(x+2)
(x^216x^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
Respond to this Question
Similar Questions

Algebra
Can you please check my answers? Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. x2/x+1 <0 my answer: (infinity,1) u (2, infinity) x+8/x3 > or 
Rational Inequities
Can you please check my answers? Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. x2/x+1 <0 my answer: (infinity,1) u (2, infinity) x+8/x3 > or 
Algebra 2
Can someone check my answers. Write the following equations in standard form. 1) x^2  2x + y^2 + 4y = 11 answer: (x1)^2 + (y+2)^2 = 16 2) 4x^2 + 24x  y + 34 = 0 answer: y = 4(x3)^2 + 2 3) The graph of which equation is a circle? 
math
Ex 2: 2x+7=22 2x+77=227 2x=15 2x/(2)=15/(2) I do not have to switch the equality sign. Even if I did it would not look any different. x=7.5 Check: 2x+7=22 2(7.5)+7=22 my solution is that x=7.5 so I will just put that in … 
PreAlgebra
Equation M: y = 3x + 4 Equation P: y = 3x + 7 Which of the following options is true about the solution to the given set of equations? 
Algebra 2
Michaela is solving rational equations. A. What is the solution set of the equation ... x^27x+12 (all over or divided by) x^2+x12 both equal to 3. What I did first was factor both equations geting (x4) on the top and (x+4) on the … 
Calc
Describe the given set with a single equation or with a pair of equations. The set of points in space that lie 2 units from the point (0,0,1) and, at the same time, 2 units from the point (0,0,1). I wrote distance equations for both … 
Algebra I DONT KNOW HOW TO DO 3 VARIABLES
Solving Linear Equations and Inequalities Solve by eliminating x (this is solving 3 linear equations) then substitute to the other two equation x + y + 5z =2 (1) 4x  3y + 5z =3 (2) 3x  2y + 5z=1 (3) my teacher gave me the answer … 
Algebra
Solving Linear Equations and Inequalities Solve by eliminating x (this is solving 3 linear equations) then substitute to the other two equation x + y + 5z =2 (1) 4x  3y + 5z =3 (2) 3x  2y + 5z=1 (3) my teacher gave me the answer … 
precalculus
please check my answers 1.Use Gaussian elimination to write the system of equations given below in rowechelon form. 2x+4y+z=4 2x4y+6z=13 4x2y+z=6 answer:2x+4y+z=4 8y5z=17 z=1 2.Find the solution to the system of equations given …