Answer:
Real roots:
x = {-5, 5}
Imaginary roots:
x = {-4i, 4i}
Step-by-step explanation:
We can solve this via factoring:
![-3x^4+27x^2+1200=0\\\\-3(x^4-9x^2-400)=0\\\\-3(x^4+16x^2-25x^2-400)=0\\\\-3(x^2(x^2+16)-25(x^2+16))=0\\\\-3(x^2-25)(x^2+16)=0\\\\-3(x^2-(5)^2)(x^2+16)=0)\\\\-3(x-5)(x+5)(x^2+16)=0](https://tex.z-dn.net/?f=-3x%5E4%2B27x%5E2%2B1200%3D0%5C%5C%5C%5C-3%28x%5E4-9x%5E2-400%29%3D0%5C%5C%5C%5C-3%28x%5E4%2B16x%5E2-25x%5E2-400%29%3D0%5C%5C%5C%5C-3%28x%5E2%28x%5E2%2B16%29-25%28x%5E2%2B16%29%29%3D0%5C%5C%5C%5C-3%28x%5E2-25%29%28x%5E2%2B16%29%3D0%5C%5C%5C%5C-3%28x%5E2-%285%29%5E2%29%28x%5E2%2B16%29%3D0%29%5C%5C%5C%5C-3%28x-5%29%28x%2B5%29%28x%5E2%2B16%29%3D0)
And so by solving for x we have:
Case 1:
![x-5=0\\\\x=5\\](https://tex.z-dn.net/?f=x-5%3D0%5C%5C%5C%5Cx%3D5%5C%5C)
Case 2:
![x+5=0\\\\x=-5\\](https://tex.z-dn.net/?f=x%2B5%3D0%5C%5C%5C%5Cx%3D-5%5C%5C)
Case 3:
![x^2+16=0\\\\x^2=-16\\\\x=\sqrt{-16} \\\\x=\pm4i\\](https://tex.z-dn.net/?f=x%5E2%2B16%3D0%5C%5C%5C%5Cx%5E2%3D-16%5C%5C%5C%5Cx%3D%5Csqrt%7B-16%7D%20%5C%5C%5C%5Cx%3D%5Cpm4i%5C%5C)
And so you have two real solutions and two imaginary solutions:
Real: ![x=\pm 5](https://tex.z-dn.net/?f=x%3D%5Cpm%205)
Imaginary: ![x=\pm 4i](https://tex.z-dn.net/?f=x%3D%5Cpm%204i)
When I solved it I got 26648.8
Answer:
the last one my brother helped me answer this for u
Answer:
Please see attachment
Step-by-step explanation:
Please see attachment