SOLUTION: Solve each equation. x/x – 1 - 3/x = ½

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Question 351751: Solve each equation.
x/x – 1 - 3/x = ½

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x/(x – 1) - 3/x = ½
(X*X-3(X-1)/X(X-1)=1/2
(X^2-3X+3)/(X^2-X)=1/2 CROSS MULTIPLY
2(X^2-3X+3)=X^2-X
2X^2-6X+6-X^2+X=0
X^2-5X+6=0
(X-2)(X-3)=0
X-2=0
X=2 ANS.
X-3=0
X=3 ANS.
PROOF:
2/(2-1)-3/2=1/2
2/1-3/2=1/2
2-1.5=.5
.5=.5
3/(3-1)-3/3=1/2
3/2-1=1/2
1.5-1=.5
.5=.5