SOLUTION: Hello the section im working on is on solving rational equations. I dont understand this one im working on.
Here it is
x/x-1 + x = 4x-3/x-1
Thanks for the help
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Rational-functions
-> SOLUTION: Hello the section im working on is on solving rational equations. I dont understand this one im working on.
Here it is
x/x-1 + x = 4x-3/x-1
Thanks for the help
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Question 133919: Hello the section im working on is on solving rational equations. I dont understand this one im working on.
Here it is
x/x-1 + x = 4x-3/x-1
Thanks for the help Answer by algebrapro18(249) (Show Source):
You can put this solution on YOUR website! Well first you need to get a common denominator. Since 2/3 of the fractions have a denominator of x-1 that will be your common denominator. So multiply everything by x-1 and the denominator cancles off leaving you with.
x+x(x-1)=4x-3
now just solve:
x+x(x-1)=4x-3 --> Distribute the x
x + x^2 - x = 4x - 3 --> Collect like terms on left hand side
x^2 - 4x + 3 = 0 --> Factor
(x-1)(x-3) = 0 --> Set each factor equal to zero and solve
x = 1 and x = 3
Now lets check our solutions
x/x-1 + x = 4x-3/x-1
when x = 1 you get
1/1-1 + 1 = 4-3/1-1 well since you can't divide by zero we know that x = 1 is a extraneous answer.
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