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Popular >

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

Solution

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

Solution

x = 0 or x \geq 1

Solution steps

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

Simplify

∣ x ∣ + \frac{∣ x ∣}{∣ x - 1 ∣} = \frac{x ^{2}}{∣ x - 1 ∣}

Multiply both sides by

∣ x - 1 ∣

∣ x ∣ ∣ x - 1 ∣ + ∣ x ∣ = x^{2}

Solve

∣ x ∣ ∣ x - 1 ∣ + ∣ x ∣ = x^{2} : x = 0 or x \geq 1

x = 0 or x \geq 1

Popular Examples

solvefor a, 1/a+1/b+1/c =1 solve for

a, \frac{1}{a} + \frac{1}{b} + \frac{1}{c} = 1

solvefor x, 7/x-6/y = 11/2 solve for

x, \frac{7}{x} - \frac{6}{y} = \frac{11}{2}

solvefor x, 7/x =-y solve for

x, \frac{7}{x} = - y

solvefor a,((-b))/a =((sqrt(2)))/3 solve for

a, \frac{( - b )}{a} = \frac{( 2 )}{3}

solvefor y,y^{-3}=x^3(3e^x+c)solve for

y, y^{- 3} = x^{3} (3 e^{x} + c)

Frequently Asked Questions (FAQ)

What is the answer to |x|+| x/((x-1))|=((x^2))/(|x-1|) ?
The answer to |x|+| x/((x-1))|=((x^2))/(|x-1|) is x=0\lor x>= 1
Solve for x: |x|+| x/((x-1))|=((x^2))/(|x-1|)
The solution is x=0\lor x>= 1