What is the answer to (x+1)^{4/3}=16 ?

The answer to (x+1)^{4/3}=16 is x=7,x=-9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x+1)^{4/3}=16

(x + 1)^{\frac{4}{3}} = 16

x = 7, x = - 9

Solution steps

(x + 1)^{\frac{4}{3}} = 16

Take both sides of the equation to the power of

3 : (x + 1)^{4} = 4096

(x + 1)^{4} = 4096

Solve

(x + 1)^{4} = 4096 : x = 7, x = - 9

x = 7, x = - 9

Verify Solutions:

x = 7

True

, x = - 9

True

The solutions are

x = 7, x = - 9

- \frac{1}{4 x ^{\frac{3}{2}}} = 0

4 x + 8 + 8 = 2 x

x + 8 - 2 x + 9 = 1

6 x + 6 = 6

2 = \frac{x}{2}