SOLUTION: solve for x i) (3x-4)(x+1)=2 ii) x-2/x-1=5/x , x#0,x#1

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Question 549468: solve for x
i) (3x-4)(x+1)=2
ii) x-2/x-1=5/x , x#0,x#1

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
i) (3x-4)(x+1)=2
(3x(x+1)-4(x+1)=2
3x%5E2-x-4=2
3x%5E2-x-6=0
Find roots of the quadratic equation
a=3,b=-1,c=-6
x1=(1+sqrt(1--72)/6
= 73
x1=14.32

x2=(-1- sqrt(1- -72)/6

x2=-11.32 -------------
ii) (x-2/x)-1=(5/x) , x#0,x#1
OR
is it (x-2)/(x-1)=5/x