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

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

Answer by checkley77(12844)   (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

RELATED QUESTIONS

Solve each equation. 8-3^x=-1 (answered by lwsshak3)
Solve each equation or inequality. 10. 1/x-3 + 1/x+5 = x+1/x-3 (answered by RAY100)
30.) Solve each equation.... (answered by mathispowerful)
30.) Solve each equation.... (answered by alicealc)
30.)Solve each equation. x/3 =... (answered by Alan3354)
30.) solve each equation. x/3 =... (answered by elima)
solve each equation... (answered by mananth,unlockmath)
Solve each equation.... (answered by unlockmath)
Solve each equation. -3/x = x/-3 (answered by rfadrogane)