I can tell u that the sides of the square is 48 because i just added 24 to 24. I feel like this is easy to answer but i’m not sure how to complete my answer... So sorryyyy
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For this case we must solve the following quadratic equation:
![x ^ 2 + 4x + 45 = 0](https://tex.z-dn.net/?f=x%20%5E%202%20%2B%204x%20%2B%2045%20%3D%200)
Where:
![a = 1\\b = 4\\c = 45](https://tex.z-dn.net/?f=a%20%3D%201%5C%5Cb%20%3D%204%5C%5Cc%20%3D%2045)
The solution will be given by:
![x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B-b%20%5Cpm%20%5Csqrt%20%7Bb%20%5E%202-4%20%28a%29%20%28c%29%7D%7D%20%7B2a%7D)
Substituting the values we have:
![x = \frac {-4 \pm \sqrt {4 ^ 2-4 (1) (45)}} {2 (1)}\\x = \frac {-4 \pm \sqrt {16-180}} {2}\\x = \frac {-4 \pm \sqrt {-164}} {2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B-4%20%5Cpm%20%5Csqrt%20%7B4%20%5E%202-4%20%281%29%20%2845%29%7D%7D%20%7B2%20%281%29%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B-4%20%5Cpm%20%5Csqrt%20%7B16-180%7D%7D%20%7B2%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B-4%20%5Cpm%20%5Csqrt%20%7B-164%7D%7D%20%7B2%7D)
By definition we have to:
![i ^ 2 = -1](https://tex.z-dn.net/?f=i%20%5E%202%20%3D%20-1)
So:
![x = \frac {-4 \pm \sqrt {164i ^ 2}} {2}\\x = \frac {-4 \pm i \sqrt {164}} {2}\\x = \frac {-4 \pm i \sqrt {2 ^ 2 * 41}} {2}\\x = \frac {-4 \pm2i \sqrt {41}} {2}\\x = -2 \pm i \sqrt {41}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B-4%20%5Cpm%20%5Csqrt%20%7B164i%20%5E%202%7D%7D%20%7B2%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B-4%20%5Cpm%20i%20%5Csqrt%20%7B164%7D%7D%20%7B2%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B-4%20%5Cpm%20i%20%5Csqrt%20%7B2%20%5E%202%20%2A%2041%7D%7D%20%7B2%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B-4%20%5Cpm2i%20%5Csqrt%20%7B41%7D%7D%20%7B2%7D%5C%5Cx%20%3D%20-2%20%5Cpm%20i%20%5Csqrt%20%7B41%7D)
Thus, we have two complex roots:
![x_ {1} = - 2 + i \sqrt {41}\\x_ {2} = - 2-i \sqrt {41}](https://tex.z-dn.net/?f=x_%20%7B1%7D%20%3D%20-%202%20%2B%20i%20%5Csqrt%20%7B41%7D%5C%5Cx_%20%7B2%7D%20%3D%20-%202-i%20%5Csqrt%20%7B41%7D)
Answer:
![x_ {1} = - 2 + i \sqrt {41}\\x_ {2} = - 2-i \sqrt {41}](https://tex.z-dn.net/?f=x_%20%7B1%7D%20%3D%20-%202%20%2B%20i%20%5Csqrt%20%7B41%7D%5C%5Cx_%20%7B2%7D%20%3D%20-%202-i%20%5Csqrt%20%7B41%7D)
2848= (47 x 32=1504) + (42 x 32=1344) Basicly 1344+1504=2848 Estimate is 2800
Answer:
c
Step-by-step explanation:
idk