What is the answer to sqrt(2x)=sqrt(x+7)-1 ?

The answer to sqrt(2x)=sqrt(x+7)-1 is x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sqrt(2x)=sqrt(x+7)-1

2 x = x + 7 - 1

x = 2

Solution steps

2 x = x + 7 - 1

Remove square roots

x^{2} - 16 x + 64 = 4 x + 28

Solve

x^{2} - 16 x + 64 = 4 x + 28 : x = 18, x = 2

x = 18, x = 2

Verify Solutions:

x = 18

False

, x = 2

True

The solution is

x = 2

x^{2} + 4 x + 4 = 4

x^{2} + 4 x + 4 = 1

4 2 x - 2 = 2

2 + x = 2 x + 8

2 3 7 - 3 x - 3 = - 7

What is the answer to sqrt(2x)=sqrt(x+7)-1 ?
The answer to sqrt(2x)=sqrt(x+7)-1 is x=2
Solve for x: sqrt(2x)=sqrt(x+7)-1
The solution is x=2