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KodxJosh
03.02.2020 •
Mathematics
Find all rational solutions of the equation x8−4x5+13x3−7x+1=0.
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Ответ:
The rational roots of the equation are:
x= -1.10355
x= 0.148953
x= 0.706883
x= -1
Step-by-step explanation:
We have to find the rational solutions of the algebraic equation:
This equation could also be written as:
for finding the roots of the equation we have to find the possible values of x.
Clearly the equation has 8 roots as the degree of the equation is 8.
from the graph of the following function we could see that the rational roots of the function are:
x= -1.10355
x= 0.148953
x= 0.706883
x= -1
The rest 4 roots of the equation are the complex roots.
Ответ:
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