Solve (sqrt(x^2 1) x) * (sqrt(x^2 1) -x)

Evaluate

(x^{2} \times 1 \times x) (x^{2} \times 1 - x)

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

(x^{2} \times 1 \times x) (x^{2} \times 1 - x) = 0

Find the domain

More Steps

(x^{2} \times 1 \times x) (x^{2} \times 1 - x) = 0, x \in R

Calculate

(x^{2} \times 1 \times x) (x^{2} \times 1 - x) = 0

Any expression multiplied by 1 remains the same

(x^{2} \times x) (x^{2} \times 1 - x) = 0

Reduce the index of the radical and exponent with n a^{n} = a

(∣ x ∣ \times x) (x^{2} \times 1 - x) = 0

Calculate

x ∣ x ∣ \times (x^{2} \times 1 - x) = 0

Any expression multiplied by 1 remains the same

x ∣ x ∣ \times (x^{2} - x) = 0

Reduce the index of the radical and exponent with n a^{n} = a

x ∣ x ∣ \times (∣ x ∣ - x) = 0

Separate the equation into 3 possible cases

x = 0 ∣ x ∣ = 0 ∣ x ∣ - x = 0

Solve the equation

x = 0 x = 0 ∣ x ∣ - x = 0

Solve the equation

More Steps

x = 0 x = 0 x \geq 0

Solution

x \geq 0

Simplify the expression