SOLUTION: OK Here's the question, I went over it but can not see it through yet. Can you help step by step? "Use the quadratic formula to solve the equation:24x^2-14x=6. Round your answer t

Question 40306: OK Here's the question, I went over it but can not see it through yet. Can you help step by step?
"Use the quadratic formula to solve the equation:24x^2-14x=6. Round your answer to the nearest hundreth. you must show your work with the quadratic formula."
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
24x^2-14x=6
24x^2-14x-6=0
2(12x^2-7x-3)=0
12x^2-7x-3=0
a=12, b=-7, c=-3

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=193 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.870518499560408, -0.287185166227075. Here's your graph:

Hope this helps.
Cheers,
stan H.
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