Answer:
![\large\boxed{x=-2\pm2i}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bx%3D-2%5Cpm2i%7D)
Step-by-step explanation:
![x^2+4x+8=0\qquad\text{subtract 8 from both sides}\\\\x^2+4x+8-8=0-8\\\\x^2+2(x)(2)=-8\qquad\text{add}\ 2^2\ \text{to both sides}\\\\x^2+2(x)(2)+2^2=-8+2^2\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+2)^2=-8+4\\\\(x+2)^2=-4\iff x+2=\pm\sqrt{-4}\\\\x+2=\pm\sqrt{(4)(-1)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x+2=\pm\sqrt4\cdot\sqrt{-1}\qquad\text{use}\ \sqrt{-1}=i\\\\x+2=\pm2\cdot i\qquad\text{subtract 2 from both sides}\\\\x=-2\pm2i](https://tex.z-dn.net/?f=x%5E2%2B4x%2B8%3D0%5Cqquad%5Ctext%7Bsubtract%208%20from%20both%20sides%7D%5C%5C%5C%5Cx%5E2%2B4x%2B8-8%3D0-8%5C%5C%5C%5Cx%5E2%2B2%28x%29%282%29%3D-8%5Cqquad%5Ctext%7Badd%7D%5C%202%5E2%5C%20%5Ctext%7Bto%20both%20sides%7D%5C%5C%5C%5Cx%5E2%2B2%28x%29%282%29%2B2%5E2%3D-8%2B2%5E2%5Cqquad%5Ctext%7Buse%7D%5C%20%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2%5C%5C%5C%5C%28x%2B2%29%5E2%3D-8%2B4%5C%5C%5C%5C%28x%2B2%29%5E2%3D-4%5Ciff%20x%2B2%3D%5Cpm%5Csqrt%7B-4%7D%5C%5C%5C%5Cx%2B2%3D%5Cpm%5Csqrt%7B%284%29%28-1%29%7D%5Cqquad%5Ctext%7Buse%7D%5C%20%5Csqrt%7Bab%7D%3D%5Csqrt%7Ba%7D%5Ccdot%5Csqrt%7Bb%7D%5C%5C%5C%5Cx%2B2%3D%5Cpm%5Csqrt4%5Ccdot%5Csqrt%7B-1%7D%5Cqquad%5Ctext%7Buse%7D%5C%20%5Csqrt%7B-1%7D%3Di%5C%5C%5C%5Cx%2B2%3D%5Cpm2%5Ccdot%20i%5Cqquad%5Ctext%7Bsubtract%202%20from%20both%20sides%7D%5C%5C%5C%5Cx%3D-2%5Cpm2i)
lol, there are three.
Step-by-step explanation:
thanks for the points I guess.
28x+-21 you simplify them first
Answer:
41.82$
Step-by-step explanation:
The prices are
7.58$, 16$, 18.24$.
To get the total of all what Lucy bought, You add the prices altogether.
That is,
18.24$
+16.00$
+<u>0</u><u>7</u><u>.</u><u>5</u><u>8</u><u>$</u>
41.82$
The total amount of what Lucy bought is 41.82$
J can give you some example:
absolute (1-3)=absolute(-2)=2