What is the answer to 3+sqrt(3x)+1=x ?

The answer to 3+sqrt(3x)+1=x is x=(11+sqrt(57))/2

Solve for x: 3+sqrt(3x)+1=x

The solution is x=(11+sqrt(57))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 + 3 x + 1 = x

x = \frac{11 + 57}{2}

Decimal Notation

x = 9.27491 \dots

Solution steps

3 + 3 x + 1 = x

Expand

3 + 3 x + 1 : 3 x + 4

3 x + 4 = x

Remove square roots

3 x = x^{2} - 8 x + 16

Solve

3 x = x^{2} - 8 x + 16 : x = \frac{11 + 57}{2}, x = \frac{11 - 57}{2}

x = \frac{11 + 57}{2}, x = \frac{11 - 57}{2}

Verify Solutions:

x = \frac{11 + 57}{2}

True

, x = \frac{11 - 57}{2}

False

The solution is

x = \frac{11 + 57}{2}

3 x = 5 x + 16 - 4

3 x - x^{2} + (x + 2) 9 - x^{2} = 0

x - 2 x - 6 = 7

x + 1 = x^{3} - 1

What is the answer to 3+sqrt(3x)+1=x ?
The answer to 3+sqrt(3x)+1=x is x=(11+sqrt(57))/2
Solve for x: 3+sqrt(3x)+1=x
The solution is x=(11+sqrt(57))/2