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Which equation could be solved using this application of the quadratic formula?A. x ^ 2 + 6x + 24 = 3x B 3x ^ 2 + 3x + 24 = 3 C. x ^ 2 + 3x - 24 = 3 D x ^ 2 + 3x + 24 = 3

Which equation could be solved using this application of the quadratic formula?A. x-example-1

1 Answer

2 votes

Answer:


A.\;x^2+6x+24=3x

Explanation:

Given a quadratic function of the form:


y=ax^2+bx+c

In order to solve for x, we use the quadratic formula:


$$x=(-b\pm√(b^2-4ac) )/(2a)$$

Comparing this with the given application:


\begin{gathered} x=(-3\pm√(3^2-4(1)*24))/(2(1)) \\ \implies a=1,b=3,\text{ and }c=24 \end{gathered}

From the given options, the equation that can be solved with the given formula is:


x^2+6x+24=3x

This is because it simplifies to:


\begin{gathered} x^2+6x-3x+24=0 \\ \implies x^2+3x+24=0 \end{gathered}

The correct option is A.

User Sandah Aung
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