What are the solutions to the equation 1031=x^5+x+3 ?

The solutions to the equation 1031=x^5+x+3 are x=4

Find the zeros of 1031=x^5+x+3

The zeros of 1031=x^5+x+3 are x=4

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1031 = x^{5} + x + 3

x = 4

Solution steps

1031 = x^{5} + x + 3

Switch sides

x^{5} + x + 3 = 1031

Move

1031

to the left side

x^{5} + x - 1028 = 0

Factor

x^{5} + x - 1028 : (x - 4) (x^{4} + 4 x^{3} + 16 x^{2} + 64 x + 257)

(x - 4) (x^{4} + 4 x^{3} + 16 x^{2} + 64 x + 257) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 4 = 0 or x^{4} + 4 x^{3} + 16 x^{2} + 64 x + 257 = 0

Solve

x - 4 = 0 : x = 4

Solve

x^{4} + 4 x^{3} + 16 x^{2} + 64 x + 257 = 0 :

No Solution for

x \in R

The solution is

x = 4

2 x^{4} - 3 x^{2} + 1 = 0

x, 0 = x^{3} - y + 5

2 x^{3} - 5 x^{2} = 12 x

n^{3} = 8

12 x^{3} - 12 x^{2} - 12 x = 0

What are the solutions to the equation 1031=x^5+x+3 ?
The solutions to the equation 1031=x^5+x+3 are x=4
Find the zeros of 1031=x^5+x+3
The zeros of 1031=x^5+x+3 are x=4