What is the answer to (x-5)^{3/4}-27=0 ?

The answer to (x-5)^{3/4}-27=0 is x=86

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-5)^{3/4}-27=0

(x - 5)^{\frac{3}{4}} - 27 = 0

x = 86

Solution steps

(x - 5)^{\frac{3}{4}} - 27 = 0

Move

27

to the right side

(x - 5)^{\frac{3}{4}} = 27

Take both sides of the equation to the power of

4 : (x - 5)^{3} = 531441

(x - 5)^{3} = 531441

Solve

(x - 5)^{3} = 531441 : x = 86

x = 86

Verify Solutions:

x = 86

True

The solution is

x = 86

4 x + 1 + x = 5

0 = x^{2} - 9

x^{\frac{3}{4}} = - 8

2 x + 9 = 21

x^{2} + 9 = 5