Find all real solutions of the equation X^{4}=16-x^{3}, rounded to two decimals.

EunoR

EunoR

Answered question

2021-08-09

X4=16x3 - Find all real solutions of the equation, rounded to two decimals.

Answer & Explanation

Cullen

Cullen

Skilled2021-08-10Added 89 answers

Step 1
Given equation is
x4=16x3
We need to find all the real solutions, rounded to two decimals.
Step 2
Since there are no easy roots for the equation, we find the real roots graphically.
We plot y=x4 and y=16x3 and we graphically calculate the intersection points of these two curves.

Roots are
x1=2.31
x2=1.79

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