What is the answer to sqrt(3x+4)-sqrt(x-4)=2sqrt(x) ?

The answer to sqrt(3x+4)-sqrt(x-4)=2sqrt(x) is x=4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sqrt(3x+4)-sqrt(x-4)=2sqrt(x)

3 x + 4 - x - 4 = 2 x

x = 4

Solution steps

3 x + 4 - x - 4 = 2 x

Square both sides:

4 x - 2 3 x + 4 x - 4 = 4 x

4 x - 2 3 x + 4 x - 4 = 4 x

Move

4 x

to the left side

- 2 3 x + 4 x - 4 = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

3 x + 4 = 0 or x - 4 = 0

Solve

3 x + 4 = 0 : x = - \frac{4}{3}

Solve

x - 4 = 0 : x = 4

x = - \frac{4}{3}, x = 4

Verify Solutions:

x = - \frac{4}{3}

False

, x = 4

True

The solution is

x = 4

x + 2 = 2 x - 3

5 x + 81 + 2 = 8

10 + a + 7 = 11

7 x + 30 = x + 6

- 4 43 - 3 x + 18 = - 2

What is the answer to sqrt(3x+4)-sqrt(x-4)=2sqrt(x) ?
The answer to sqrt(3x+4)-sqrt(x-4)=2sqrt(x) is x=4
Solve for x: sqrt(3x+4)-sqrt(x-4)=2sqrt(x)
The solution is x=4