SOLUTION: I need help solving this?
4/(x-1)+1=8/(x^2-1)
Algebra.Com
Question 427560: I need help solving this?
4/(x-1)+1=8/(x^2-1)
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
I need help solving this?
4/(x-1) + 1 = 8 /(x^2 - 1)
4 / (x - 1) + 1 = 8 / (x + 1)(x - 1) {factored x^2 - 1 into two binomials on right side}
(x + 1)(x - 1)[4/(x - 1)] + (x + 1)(x - 1)(1) = (x + 1)(x - 1)[8/(x + 1)(x - 1)] {multiplied each term by LCD: (x + 1)(x - 1)
4(x + 1) + x^2 - 1 = 8 {cancelled and multiplied what's left}
4x + 4 + x^2 - 1 = 8 {used distributive property}
x^2 + 4x + 3 = 8 {combined like terms on left side}
x^2 + 4x - 5 = 0 {subtracted 8 from both sides}
(x + 5)(x - 1) = 0 {factored into two binomials}
x + 5 = 0 or x - 1 = 0 {set each factor equal to 0}
x = - 5 or x = 1 {solved each equation for x}
x = -5
x cannot be 1, it is an "extraneous solution".
If you put 1 back in, it makes one of the denominators 0, which is impossible.
www.algebrahouse.com
RELATED QUESTIONS
I need help solving this equation. x=1/2(y+4) solving for... (answered by nyc_function)
I need help solving this rational equation... (answered by jsmallt9)
I need help solving this problem:
log 4 (x ^2 -3) + log 4... (answered by nerdybill)
I need help solving this problem:
X-2 X-1
___ = _____
X-3... (answered by longjonsilver)
I need help solving this problem:
X-2 X-1
___ = _____
X-3... (answered by longjonsilver,Pieter)
I need help solving this equation can you help?... (answered by jojo14344)
I need help solving this equation
7 + 1 = 3
------- + --------- (answered by ankor@dixie-net.com)
I need help please, solving this equation.
(y - 1)^2 = x + 1
(y + 2)^2 = -x +... (answered by rwm)
I need help solving the equation algebraically:
1/x+8 + 1/x+5 =... (answered by lwsshak3)