SOLUTION: {{{(2x/(x+4))=(3/(x-1))}}}

Algebra.Com
Question 292159:

Answer by JBarnum(2146)   (Show Source): You can put this solution on YOUR website!
multiply diagnally
distribute
subtract 3x and 12
add like terms
quadratic formula
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=121 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 4, -1.5. Here's your graph:




RELATED QUESTIONS

4^x-1 = 3^2x (answered by Fombitz)
4(x+1)<2x+3 (answered by 2897696)
4(x+1) <... (answered by tommyt3rd)
4^(x-1)=3^2x (answered by josgarithmetic)
x^4-2x^3-2x-1... (answered by Edwin McCravy)
-2(x+4)-(2x-1) x=-3 (answered by jim_thompson5910)
2x-1/x=3/4 find... (answered by unlockmath,MathTherapy)
2x-1/x=3/4 find... (answered by Simnepi)