What are the solutions to the equation 34=y^5+y ?

The solutions to the equation 34=y^5+y are y=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

34=y^5+y

34 = y^{5} + y

y = 2

Solution steps

34 = y^{5} + y

Switch sides

y^{5} + y = 34

Move

34

to the left side

y^{5} + y - 34 = 0

Factor

y^{5} + y - 34 : (y - 2) (y^{4} + 2 y^{3} + 4 y^{2} + 8 y + 17)

(y - 2) (y^{4} + 2 y^{3} + 4 y^{2} + 8 y + 17) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y - 2 = 0 or y^{4} + 2 y^{3} + 4 y^{2} + 8 y + 17 = 0

Solve

y - 2 = 0 : y = 2

Solve

y^{4} + 2 y^{3} + 4 y^{2} + 8 y + 17 = 0 :

No Solution for

y \in R

The solution is

y = 2

r^{4} + 10 r^{3} - 9^{2} - 90 r = 0

12 x^{3} - 12 x^{2} - 72 x = 0

3 x^{5} - 5 x^{3} + 4 = 0

s (2 s + 0.1)^{2} = 8 \cdot 1 0^{- 9}

3 x^{3} - x - 10 x = - x^{2} + 2 x

What are the solutions to the equation 34=y^5+y ?
The solutions to the equation 34=y^5+y are y=2
Find the zeros of 34=y^5+y
The zeros of 34=y^5+y are y=2