()use the discriminant to find the number of real solutions of the equation 3x^2-5x+4=0. show your work.

0 real solutions

Step-by-step explanation:

The discriminant (D) is given by the formula:

Where a,b, and c are gotten from the standard form of a quadratic equation, which is  

The equation given is  

From this we can say that a = 3, b = -5, & c = 4. Plugging these into the discriminant formula we get:

There are 3 things that we can find from the value of discriminant:

1. If D=0, there are 2 equal, real roots

2. if D>0, there are 2 distinct real roots

3. if D<0, there are no real roots, rather 2 imaginary roots

Since the value of the discriminant is negative (D<0), we can say that there are no real solutions for the equation given.

Step-by-step explanation:

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