SOLUTION: I have to solve using the quadratic formula 2/x + 5/x+2 = 1

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Question 243356: I have to solve using the quadratic formula
2/x + 5/x+2 = 1
Found 2 solutions by edjones, checkley77:
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
2/x + 5/(x+2) = 1 Use parentheses to help tutors.
2(x+2)+5x=x(x+2) multiply each side by x(x+2) (LCM) to eliminate fractions.
2x+4+5x=x^2+2x
7x+4=x^2+2x
x^2-5x-4=0
.
Ed
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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=41 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 5.70156211871642, -0.701562118716424. Here's your graph:
Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
2/x+5/(x+2)=1
[2(x+2)+5x]/x(x+2)=1
[2x+4+5x]/(x^2+2x)=1
[7x+4]/(x^2+2x)=1
7x+4=x^2+2x
x^2-2x-7x-4=0
x^2-9x-4=0

x=(9+-sqrt[-9^2-4*1*-4])/2*1
x=(9+-sqrt[81+16])/2
x=(9+-sqrt97)/2
x=(9+-9.85)/2
x=(9+9.85)/2
x=18.85/2
x=9.424 ans
x=(9-9.85)/2
x=-.85/2
x=-.424 ans.

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