The correct answer is:
[tex]x=\frac{1\pm \sqrt{(-1)^2-4(1)(-2)}}{2(1)}[/tex]
Explanation:
The Quadratic Formula is
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex],
where a, b and c are the coefficients of a quadratic equation written in standard form, or 0=ax²+bx+c.
This means that first, we need to make our equation equal 0.
We have
-2 = -x + x² - 4
To make this equal 0, we must cancel the -2. We do this by adding 2:
-2+2 = -x + x² - 4 + 2
0 = -x + x² - 2
Now we write this in standard form. This means the x² term must come first, then the x term, then the constant:
0 = x²-x-2
This makes a = 1, b = -1 and c = -2. We then plug this into the quadratic formula.
Answer:
D.
Step-by-step explanation:
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