What is the answer to x-1=sqrt(x) ?

The answer to x-1=sqrt(x) is x=(3+sqrt(5))/2

Solve for x: x-1=sqrt(x)

The solution is x=(3+sqrt(5))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x - 1 = x

x = \frac{3 + 5}{2}

Decimal Notation

x = 2.61803 \dots

Solution steps

x - 1 = x

Square both sides:

x^{2} - 2 x + 1 = x

x^{2} - 2 x + 1 = x

Solve

x^{2} - 2 x + 1 = x : x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

Verify Solutions:

x = \frac{3 + 5}{2}

True

, x = \frac{3 - 5}{2}

False

The solution is

x = \frac{3 + 5}{2}

x^{\frac{1}{3}} = - 5

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

3 x = 3

x^{\frac{1}{3}} = 15

x = \frac{x}{4}

What is the answer to x-1=sqrt(x) ?
The answer to x-1=sqrt(x) is x=(3+sqrt(5))/2
Solve for x: x-1=sqrt(x)
The solution is x=(3+sqrt(5))/2