Solve |x-1| sqrtx

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Example problems

Type your math problem... |x-1| sqrtx

Question

Find the roots

x_{1} = 0, x_{2} = 1

Evaluate

∣ x - 1 ∣ \times x

To find the roots of the expression,set the expression equal to 0

∣ x - 1 ∣ \times x = 0

Find the domain

∣ x - 1 ∣ \times x = 0, x \geq 0

Calculate

∣ x - 1 ∣ \times x = 0

Separate the equation into 2 possible cases

∣ x - 1 ∣ = 0 x = 0

Solve the equation

More Steps

Evaluate

∣ x - 1 ∣ = 0

Rewrite the expression

x - 1 = 0

Move the constant to the right-hand side and change its sign

x = 0 + 1

Removing 0 doesn't change the value,so remove it from the expression

x = 1

x = 1 x = 0

The only way a root could be 0 is when the radicand equals 0

x = 1 x = 0

Check if the solution is in the defined range

x = 1 x = 0, x \geq 0

Find the intersection of the solution and the defined range

x = 1 x = 0

Solution

x_{1} = 0, x_{2} = 1

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