Solve the rational equation $\frac{x-1}{x+1}=6$

Step-by-step Solution

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Final answer to the problem

$x=\frac{7}{-5}$
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Step-by-step Solution

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  • Solve for x
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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1

Multiply both sides of the equation by $x+1$

$x-1=6\left(x+1\right)$

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$x-1=6\left(x+1\right)$

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Learn how to solve problems step by step online. Solve the rational equation (x-1)/(x+1)=6. Multiply both sides of the equation by x+1. Solve the product 6\left(x+1\right). Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Add the values 6 and 1.

Final answer to the problem

$x=\frac{7}{-5}$

Exact Numeric Answer

$x=-1.4$

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Function Plot

Plotting: $\frac{x-1}{x+1}-6$

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Answer Assistant

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Got a different answer? Verify it!

Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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