What is the answer to (x^3-1)/(sqrt(x)-1)=6.5 ?

The answer to (x^3-1)/(sqrt(x)-1)=6.5 is x\approx 1.06490…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x^3-1)/(sqrt(x)-1)=6.5

\frac{x ^{3} - 1}{x - 1} = 6.5

x \approx 1.06490 \dots

Solution steps

\frac{x ^{3} - 1}{x - 1} = 6.5

Multiply both sides by

x - 1

\frac{x ^{3} - 1}{x - 1} (x - 1) = 6.5 (x - 1)

Simplify

x^{3} - 1 = 6.5 (x - 1)

Expand

6.5 (x - 1) : 6.5 x - 6.5

x^{3} - 1 = 6.5 x - 6.5

Remove square roots

x^{6} + 11 x^{3} + 30.25 = 42.25 x

Solve

x^{6} + 11 x^{3} + 30.25 = 42.25 x : x = 1, x \approx 1.06490 \dots

x = 1, x \approx 1.06490 \dots

Verify Solutions:

x = 1

False

, x \approx 1.06490 \dots

True

The solution is

x \approx 1.06490 \dots

2 x + 11 = x + 6

y, x = 5 - 9 - y

2 x = 1

2 x = 4

7 x + 43 = x + 5

What is the answer to (x^3-1)/(sqrt(x)-1)=6.5 ?
The answer to (x^3-1)/(sqrt(x)-1)=6.5 is x\approx 1.06490…
Solve for x: (x^3-1)/(sqrt(x)-1)=6.5
The solution is x\approx 1.06490…