Question

I need help hereI just have to answer this question,WHAT IS THE DISCRIMINANT VALUE FROM PROBLEM 17?but the question is about the next problem that I did it. I don't have to make the equation because I did it. But I must have to answer the question.

Answer 1

The quadratic equation is given to be:

$4x^2+12x=-4$

We can rewrite this equation in the general form of a quadratic equation. Therefore, we have:

$4x^2+12x+4=0$

The general form of a quadratic equation is given to be:

$ax^2+bx+c=0$

Recall the quadratic formula used to solve quadratic equations:

$x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

The expression that is inside the square root of the quadratic formula is called the discriminant of the quadratic equation. Hence, the formula for the discriminant is given to be:

$D=b^2-4ac$

From the quadratic equation given, we have the following coefficients:

$\begin{gathered} a=4 \\ b=12 \\ c=4 \end{gathered}$

Therefore, the discriminant is calculated to be:

$\begin{gathered} D=12^2-4(4\times4) \\ D=80 \end{gathered}$

The discriminant value is 80.