RamierJ620187 RamierJ620187
  • 25-10-2022
  • Mathematics
contestada

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

Consider the quadratic equation below 412 5 3 4 Determine the correct setup for solving the equation using the quadratic formula class=

Respuesta :

KaliiT395661 KaliiT395661
  • 25-10-2022

Given:

[tex]4x^2-5=3x+4[/tex]

To find:

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

Explanation:

It can be simplified as,

[tex]\begin{gathered} 4x^2-5-3x-4=0 \\ 4x^2-3x-9=0 \end{gathered}[/tex]

Here,

[tex]\begin{gathered} a=4 \\ b=-3 \\ c=-9 \end{gathered}[/tex]

Using the quadratic formula,

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

Plugging in the values, we get

[tex]x=\frac{-(-3)\pm\sqrt{(-3)^2-4(4)(-9)}}{2(4)}[/tex]

Final answer:

The correct choice is D.

Answer Link

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