SOLUTION: 5/4x+1/8x=7/8+x The solution to x is:

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Question 324982: 5/4x+1/8x=7/8+x
The solution to x is:
Found 2 solutions by Fombitz, Alan3354:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!

Multiply both sides by 8.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
5/4x+1/8x=7/8+x
Multiply by 8x
10 + 1 = 7x + 8x^2
8x^2 + 7x - 11 = 0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
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=401 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.814061524656299, -1.6890615246563. Here's your graph:
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