Which shows the correct substitution of the values a, b, and c from the equation -2 = -x + x2 – 4 into the quadratic
formula?
Quadratic formula: x =
-bb2-4ac
2 a
Ox=
-(-1){V - 1)2 - 4(1)(-4)
2(1)
O x=-11/12-46- 1)( - 4)
2(-1)
O x= -13V (1)? - 4( - 1)(-2)
2(-1)
O x=-(-1)+7(-1)2 - 4(1)(-2)
2(1)

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oeerivona oeerivona · Answer 1 · 2022-02-09T13:37:00+01:00

The values of a, b, c are obtained from the given equation, by equation

in the form in which it is equal to 0.

The correct substitution of the values a, b, and c from the equation -2 = -x + x² - 4 is the option;

[tex]\underline{x = \dfrac{-1 \pm \sqrt{1^2 - 4 \cdot (-1) \cdot (-2)} }{2 \cdot (-1)}}[/tex]

Given:

The quadratic formula is presented as follows;

[tex]x = \mathbf{ \dfrac{-b \pm \sqrt{b^2 - 4 \cdot a \cdot c} }{2 \cdot a}}[/tex]

The given equation is presented as follows;

-2 = -x + x² - 4

Which gives;

0 = -x + x² - 4 + 2 = -x + x² - 2

-x + x² - 2 = 0

Therefore, we have;

[tex]x = \mathbf{ \dfrac{-1 \pm \sqrt{1^2 - 4 \times (-1) \times (-2)} }{2 \times (-1)}}[/tex]

The correct option is therefore;

[tex]x = \dfrac{-1 \pm \sqrt{1^2 - 4 \cdot (-1) \cdot (-2)} }{2 \cdot (-1)}[/tex]

Learn more about the quadratic formula here:

https://brainly.com/question/1630251