SOLUTION: solve 5/x=3/2 and [x/(x-2)]-[5/x]=3/4 and (a-2)/(a^2-4)=1 thanks!!

Question 65789: solve
5/x=3/2
and
[x/(x-2)]-[5/x]=3/4
and
(a-2)/(a^2-4)=1
thanks!!
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
5/X=3/2 CROSS MULTIPLY
3X=10 NOW DIVIDE BOTH SIDES BY 3
X=10/3 SOLUTION
--------------------------------------------
X/(X-2)-5/X=3/4
(X*X-5[X-2])/X(X-2)=3/4
(X^2-5X+10)/(X^2-2X)=3/4 CROSS MULTIPLY
3(X^2-2X)=4(X^2-5X-10)
3X^2-6X=4X^2-20X-40
3X^2-4X^2-6X+20X+40=0
-X^2+14X+40=0
X^2-14X-40=0
(X-10)(X-4)=0
X-10=0
X=10 SOLUTION
X-4=0
X=4 SOLUTION
---------------------------------------------------
(A-2)/(A^2-4)=1
(A-2)/(A-2)(A+2)=1 CANCEL OUT THE (A-20) & WE HAVE LEFT
1/(A+2)=1 CROSS MULTIPLY
A+2=1
A=1-2
A=-1 SOLUTION

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