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4 Consider the quadratic equation below.[tex]4 {x}^{2} - 5 = 3x + 4[/tex] Determine the correct set-up for solving the equation using the quadratic formula.

4 Consider the quadratic equation below.[tex]4 {x}^{2} - 5 = 3x + 4[/tex] Determine the correct set-up for solving the equation using the quadratic formula. class=

Answer :

The equation:

4x² - 5 = 3x + 4

First, we need to re-arrange in the form : ax² + bx + c

4x² - 5 = 3x + 4

4x² - 3x -5 -4 = 0

4x² - 3x -9 =0

comparing the above with ax² + bx + c

a= 4 b= -3 c=-9

we will then substitute the values into the quadratic formula:

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

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