SOLUTION: Use the quadratic formula to solve the equation: 24x^2-14x=6. Round your answer to the nearest hundredth.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Use the quadratic formula to solve the equation: 24x^2-14x=6. Round your answer to the nearest hundredth.      Log On


   

Question 40221: Use the quadratic formula to solve the equation: 24x^2-14x=6. Round your answer to the nearest hundredth.
Answer by abcdefg(37) About Me  (Show Source):
You can put this solution on YOUR website!
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=772 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: