SOLUTION: Use the quadratic formula to solve the euation. If the equation has no real number solutions, so state. 3x^2 + x - 3 = 0

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Question 247824: Use the quadratic formula to solve the euation. If the equation has no real number solutions, so state.
3x^2 + x - 3 = 0

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
3x^2 + x - 3 = 0
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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=37 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.847127088383037, -1.18046042171637. Here's your graph:



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