Which of the following is a solution of x2 + 2x = −2? (1 point)

1 answer:

7 0

X^2 + 2x = -2
x^2 + 2x + 2 = 0

$x= \frac{-b\pm \sqrt{b^2-4ac} }{2a} \\x=\frac{-2\pm \sqrt{2^2-(4\times1\times2)} }{2\times1}\\x=\frac{-2\pm \sqrt{4-8} }{2}\\x=\frac{-2\pm \sqrt{-4} }{2}\\x=\frac{-2\pm2i }{2}\\x=-1\pm i$

Therefore, x = -1 + i or x = -1 - i

Therefore, the correct answer is the third option.

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$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\
% function transformations for trigonometric functions
\begin{array}{rllll}
% left side templates
f(x)=&{{ A}}sin({{ B}}x+{{ C}})+{{ D}}
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$\bf \begin{array}{llll}
% right side info
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$\bf \begin{array}{llll}


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\qquad \frac{2\pi }{{{ B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\
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$\bf \begin{array}{llccll}
cos(&4x&+0)&+2\\
&\uparrow &\uparrow &\uparrow \\
&B&C&D
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\\\\\\
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\\\\\\
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