Question

Consider the quadratic equation below. 412 - 5= 3 + 4 Determine the correct set-up for solving the equation using the quadratic formula.

Answer 1

Given:

`4x^2-5=3x+4`

To find:

The correct setup for solving the equation using the quadratic formula.​

Step-by-step explanation:

It can be simplified as,

`\begin{gathered} 4x^2-5-3x-4=0 \\ 4x^2-3x-9=0 \end{gathered}`

Here,

`\begin{gathered} a=4 \\ b=-3 \\ c=-9 \end{gathered}`

Using the quadratic formula,

`x=(-b\pm√(b^2-4ac))/(2a)`

Plugging in the values, we get

`x=(-(-3)\pm√((-3)^2-4(4)(-9)))/(2(4))`

Final answer:

The correct choice is D.