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

The answer to sqrt(x)+sqrt(x+1)=sqrt(2x+1) is x=0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

x + x + 1 = 2 x + 1

x = 0

Solution steps

x + x + 1 = 2 x + 1

Square both sides:

2 x + 2 x x + 1 + 1 = 2 x + 1

2 x + 2 x x + 1 + 1 = 2 x + 1

Subtract

2 x + 1

from both sides

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

Simplify

2 x x + 1 = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 1 = 0

Solve

x = 0 : x = 0

Solve

x + 1 = 0 : x = - 1

x = 0, x = - 1

Verify Solutions:

x = 0

True

, x = - 1

False

The solution is

x = 0

f, f^{- 1} (2) = 22 - 18 x

5 x + 4 = 9 - x + 7

7 x + 1 - x = 1

3 x - 8 + 2 x + 1 + 1 = 0

7 x + 2 - 3 x + 6 = 6

What is the answer to sqrt(x)+sqrt(x+1)=sqrt(2x+1) ?
The answer to sqrt(x)+sqrt(x+1)=sqrt(2x+1) is x=0
Solve for x: sqrt(x)+sqrt(x+1)=sqrt(2x+1)
The solution is x=0