To express
5
−
2
as a positive exponent we will use this rule of exponents:
x
a
=
1
x
−
a
5
−
2
=
1
5
−
−
2
=
1
5
2
Answer:
![\large\boxed{x=1\ \vee\ x=-3i\ \vee\ x=3i}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bx%3D1%5C%20%5Cvee%5C%20x%3D-3i%5C%20%5Cvee%5C%20x%3D3i%7D)
Step-by-step explanation:
![\text{The zeros:}\\\\x^3-x^2+9x-9=0\\\\x^2(x-1)+9(x-1)=0\\\\(x-1)(x^2+9)=0\iff x-1=0\ \vee\ x^2+9=0\\\\x-1=0\qquad\text{add 1 to both sides}\\x-1+1=0+1\\\boxed{x=1}\\\\x^2+9=0\qquad\text{subtract 9 from both sides}\\x^2=-9](https://tex.z-dn.net/?f=%5Ctext%7BThe%20zeros%3A%7D%5C%5C%5C%5Cx%5E3-x%5E2%2B9x-9%3D0%5C%5C%5C%5Cx%5E2%28x-1%29%2B9%28x-1%29%3D0%5C%5C%5C%5C%28x-1%29%28x%5E2%2B9%29%3D0%5Ciff%20x-1%3D0%5C%20%5Cvee%5C%20x%5E2%2B9%3D0%5C%5C%5C%5Cx-1%3D0%5Cqquad%5Ctext%7Badd%201%20to%20both%20sides%7D%5C%5Cx-1%2B1%3D0%2B1%5C%5C%5Cboxed%7Bx%3D1%7D%5C%5C%5C%5Cx%5E2%2B9%3D0%5Cqquad%5Ctext%7Bsubtract%209%20from%20both%20sides%7D%5C%5Cx%5E2%3D-9%3C0%5Cqquad%5Ctext%7Bno%20real%20roots%7D%5C%5C%5Ctext%7BIn%20the%20set%20of%20complex%20numbers%3A%7D%5C%5Cx%5E2%3D-9%5Cto%20x%3D%5Cpm%5Csqrt%7B-9%7D%5C%5C%5Cboxed%7Bx%3D-3i%5C%20%5Cvee%5C%20x%3D3i%7D)
Answer:
12
Step-by-step explanation:
4 and 12 only share 12 which is the lowest number :D
Find A U B U C. A){2,3,5,6,7,8,9,11,12}B){2,3,5,6,7,8,9}C){2,3,5,7,8,9,12}D){3,5,6,7,8,11,12}
Triss [41]
Answer: {2,3,5,6,7,8,9,11,12}