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17 votes
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.

I need help hereI just have to answer this question,WHAT IS THE DISCRIMINANT VALUE-example-1
User Yann Moisan
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1 Answer

19 votes
19 votes

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*4) \\ D=80 \end{gathered}

The discriminant value is 80.

User Danyamachine
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