Question

Determine the discriminant, and then state the nature of the solutions. 3x^2+5x-8=0The discriminant tells us there is Answer

Answer 1

Answer:

The discriminant is one rational solution:

121

Step-by-step explanation:

Given the quadratic equation:

`3x^2+5x-8=0`

Comparing this to:

`ax^2+bx+c=0`

We see that

a = 3, b = 5, and c = -8

The discriminant is given as:

`\begin{gathered} D=b^2-4ac \\ =5^2-4(3)(-8) \\ =25+96 \\ =121 \end{gathered}`

The discriminant is one rational solution: 121