SOLUTION: Compute the value of the discriminant and give the number of real solutions to the quadratic equation: 3x^2 - 7x + 9 = 0

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Question 39027: Compute the value of the discriminant and give the number of real solutions to the quadratic equation:
3x^2 - 7x + 9 = 0
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Compute the value of the discriminant and give the number of real solutions to the quadratic equation:
3x^2 - 7x + 9 = 0

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 : .

The discriminant -59 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -59 is + or - .

The solution is

Here's your graph:

Hope this helps.
Cheers,
Stan H.
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