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)      (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: 
  
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