Given:
The given equation is
![2x^3-3x^2+18x-27=0](https://tex.z-dn.net/?f=2x%5E3-3x%5E2%2B18x-27%3D0)
To find:
All the real solutions.
Solution:
We have,
![2x^3-3x^2+18x-27=0](https://tex.z-dn.net/?f=2x%5E3-3x%5E2%2B18x-27%3D0)
It can be written as
![x^2(2x-3)+9(2x-3)=0](https://tex.z-dn.net/?f=x%5E2%282x-3%29%2B9%282x-3%29%3D0)
![(2x-3)(x^2+9)=0](https://tex.z-dn.net/?f=%282x-3%29%28x%5E2%2B9%29%3D0)
Using zero product property, we get
and ![(x^2+9)=0](https://tex.z-dn.net/?f=%28x%5E2%2B9%29%3D0)
and ![x^2=-9](https://tex.z-dn.net/?f=x%5E2%3D-9)
and ![x=\pm\sqrt{-9}](https://tex.z-dn.net/?f=x%3D%5Cpm%5Csqrt%7B-9%7D)
We know that
is an imaginary number because there is a negative sign under the square root.
Therefore,
is the only real solution of the given equation.
Answer:
kinda hard
Step-by-step explanation:
Answer: 1,811 square foot
Step-by-step explanation:
Hi, to answer this question we have to solve the equation given, by substituting P = 4,148 and f=190 in the equation.
P = 1.85s + 4.2f
4,148 = 1.85s +4.2 (190)
Solving for s:
4,148 = 1.85s +798
4,148-798 =1.85s
3,350 = 1.85s
3,350/1.85 =s
s = 1,810.81 = 1,811 square foot (rounded)
Feel free to ask for more if needed or if you did not understand something.
Answer:
|−93| = −93
Step-by-step explanation:
|Mode| = mode