<span><span>x=<span><span>27.874508 or </span>x</span></span>=<span>−<span>3.874508</span></span></span>
Answer:I think this is true
Step-by-step explanation: First search what Euler path is and see what it say’s and use it
Whenever you solve an equation with a single variable you need to isolate the variable by itself on one side of the equal sign. Just be sure that whatever operations you perform on one side you perform on the other sides as well.
62x=1 divide both sides by 62
x=1/62
The function is
![f(x)= x^{5} -9x ^{3}](https://tex.z-dn.net/?f=f%28x%29%3D%20x%5E%7B5%7D%20-9x%20%5E%7B3%7D%20)
1. let's factorize the expression
![x^{5} -9x ^{3}](https://tex.z-dn.net/?f=x%5E%7B5%7D%20-9x%20%5E%7B3%7D%20)
:
![f(x)= x^{5} -9x ^{3}= x^{3} ( x^{2} -9)=x^{3}(x-3)(x+3)](https://tex.z-dn.net/?f=f%28x%29%3D%20x%5E%7B5%7D%20-9x%20%5E%7B3%7D%3D%20x%5E%7B3%7D%20%28%20x%5E%7B2%7D%20-9%29%3Dx%5E%7B3%7D%28x-3%29%28x%2B3%29)
the zeros of f(x) are the values of x which make f(x) = 0.
from the factorized form of the function, we see that the roots are:
-3, multiplicity 1
3, multiplicity 1
0, multiplicity 3
(the multiplicity of the roots is the power of each factor of f(x) )
2.
The end behavior of f(x), whose term of largest degree is
![x^{5}](https://tex.z-dn.net/?f=%20x%5E%7B5%7D%20)
, is the same as the end behavior of
![x^{3}](https://tex.z-dn.net/?f=%20x%5E%7B3%7D%20)
, which has a well known graph. Check the picture attached.
(similarly the end behavior of an even degree polynomial, could be compared to the end behavior of
![x^{2}](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20)
)
so, like the graph of
![x^{3}](https://tex.z-dn.net/?f=%20x%5E%7B3%7D%20)
, the graph of
![f(x)= x^{5} -9x ^{3}](https://tex.z-dn.net/?f=f%28x%29%3D%20x%5E%7B5%7D%20-9x%20%5E%7B3%7D%20)
:
"As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity. "