What is the answer to 2x-4-4/(sqrt(2x-4))=0 ?

The answer to 2x-4-4/(sqrt(2x-4))=0 is x\approx 3.25992…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2x-4-4/(sqrt(2x-4))=0

Solution

2 x - 4 - \frac{4}{2 x - 4} = 0

Solution

x \approx 3.25992 \dots

Solution steps

2 x - 4 - \frac{4}{2 x - 4} = 0

Multiply both sides by

2 x - 4

2 x 2 x - 4 - 4 2 x - 4 - \frac{4}{2 x - 4} 2 x - 4 = 0 \cdot 2 x - 4

Simplify

2 2 x - 4 x - 4 2 x - 4 - 4 = 0

Move

4

to the right side

2 2 x - 4 x - 4 2 x - 4 = 4

Move

4

to the left side

2 2 x - 4 x - 4 2 x - 4 - 4 = 0

Factor

2 2 x - 4 x - 4 2 x - 4 - 4 : 2 (x 2 x - 4 - 2 2 x - 4 - 2)

2 (x 2 x - 4 - 2 2 x - 4 - 2) = 0

Divide both sides by

2

x 2 x - 4 - 2 2 x - 4 - 2 = 0

Move

2

to the right side

x 2 x - 4 - 2 2 x - 4 = 2

Factor

x 2 x - 4 - 2 2 x - 4 : 2 x - 4 (x - 2)

2 x - 4 (x - 2) = 2

Divide both sides by

x - 2

2 x - 4 = \frac{2}{x - 2}

Square both sides:

2 x - 4 = \frac{4}{x ^{2} - 4 x + 4}

2 x - 4 = \frac{4}{x ^{2} - 4 x + 4}

Solve

2 x - 4 = \frac{4}{x ^{2} - 4 x + 4} : x \approx 3.25992 \dots

x \approx 3.25992 \dots

Verify Solutions:

x \approx 3.25992 \dots

True

The solution is

x \approx 3.25992 \dots

Popular Examples

sqrt(3x-7)+sqrt(2x-1)=0

3 x - 7 + 2 x - 1 = 0

x+3sqrt(x)-4=0

x + 3 x - 4 = 0

sqrt(x-5)=4

x - 5 = 4

x+sqrt(x+5)=7

x + x + 5 = 7

sqrt(x^7)= 12/23

x^{7} = \frac{12}{23}

Frequently Asked Questions (FAQ)

What is the answer to 2x-4-4/(sqrt(2x-4))=0 ?
The answer to 2x-4-4/(sqrt(2x-4))=0 is x\approx 3.25992…
Solve for x: 2x-4-4/(sqrt(2x-4))=0
The solution is x\approx 3.25992…

2x-4-4/(sqrt(2x-4))=0

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to 2x-4-4/(sqrt(2x-4))=0 ?

Solve for x: 2x-4-4/(sqrt(2x-4))=0