SOLUTION: For the following equation, state the value of the discriminant and then describe the nature of the solutions. {{{19x^2-7x+5=0}}} What is the value of the discriminant? A)

Question 282574: For the following equation, state the value of the discriminant and then describe the nature of the solutions.

What is the value of the discriminant?
A) The equation has 2 imaginary solutions
B) the equation has 2 real solutions
C) The equation has 1 real solution
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!

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 -331 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 -331 is + or - .

The solution is

Here's your graph:

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