SOLUTION: _5___+__46____=2 2x+6 7x

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Question 75656: _5___+__46____=2
2x+6 7x
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Multiply both sides by the LCD (which is 7x(2x+6)

Distribute the 46 on the left and distribute the 7x on the right
Combine like terms
Get all terms to one side
Combine like terms and simplify. Now use the quadratic formula to solve for x:
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=32761 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 4, -2.46428571428571. Here's your graph:


So x=-2.4642857 and x=4
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