en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|(2x)/(x-2)|+|x|=(x^2)/(|x-2|)

Solution

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

Solution

x = 0 or x \geq 2

Solution steps

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

Simplify

\frac{2 x}{x - 2} : \frac{2 ∣ x ∣}{∣ x - 2 ∣}

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

Multiply both sides by

∣ x - 2 ∣

2 ∣ x ∣ + ∣ x ∣ ∣ x - 2 ∣ = x^{2}

Solve

2 ∣ x ∣ + ∣ x ∣ ∣ x - 2 ∣ = x^{2} : x = 0 or x \geq 2

x = 0 or x \geq 2

Popular Examples

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

(\frac{x + 1}{x})^{2} + (\frac{1 - 1}{x})^{2} = 1

((n+1)!)/((n-1)!)=20

\frac{( n + 1 ) !}{( n - 1 ) !} = 20

solvefor t,s= d/((t-t_{0))}solve for

t, s = \frac{d}{( t - t _{0} )}

3/((x+1/2)-x^2+3x)= 6/((2x+1))+x^2-2

\frac{3}{( x + \frac{1}{2} ) - x ^{2} + 3 x} = \frac{6}{( 2 x + 1 )} + x^{2} - 2

solvefor x,f(x-3)=((x^2-9))/((x+1))solve for

x, f (x - 3) = \frac{( x ^{2} - 9 )}{( x + 1 )}

Frequently Asked Questions (FAQ)

What is the answer to |(2x)/(x-2)|+|x|=(x^2)/(|x-2|) ?
The answer to |(2x)/(x-2)|+|x|=(x^2)/(|x-2|) is x=0\lor x>= 2
Solve for x: |(2x)/(x-2)|+|x|=(x^2)/(|x-2|)
The solution is x=0\lor x>= 2