SOLUTION: Solve the followong equations or inequalities: 6x^2 +7x=5

Question 173637: Solve the followong equations or inequalities:
6x^2 +7x=5
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!

:
you have 2 choices for the squared term when factoring this
6 and 1
3 and 2
:
you have 1 choice for the constant
:
5 and 1:
:
since the constant is -5 then we will have one positive and one negative middle term . such as 6(5)-1(1) or 3(5)-2(1)
:
through process of elimination we get: 2(5)-3(1)=7(our middle term)
:
If none of these had worked we would have had to use the quadratic formula
:
as the factors
:
3x+5=0--->3x=-5--->x=-5/3
:
2x-1=0--->2x=1--->x=1/2
:

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=169 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.5, -1.66666666666667. Here's your graph:

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