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

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

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

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 = x - 1

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

Decimal Notation

x = 2.61803 \dots

Solution steps

x = x - 1

Square both sides:

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

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

Solve

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

9 - 7 x + 6 = 10

4 t + 5 = 3 - t + 5

(x - 5)^{\frac{3}{4}} - 8 = 0

4 = x^{2}

x = - 1 - 2 x

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