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

Evaluate

(x \times 1 - 2) (x \times 1 \times 2)

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

(x \times 1 - 2) (x \times 1 \times 2) = 0

Any expression multiplied by 1 remains the same

(x \times 1 - 2) (x \times 1 \times 2) = 0, x \geq 0

Calculate

(x \times 1 - 2) (x \times 1 \times 2) = 0

Any expression multiplied by 1 remains the same

(x - 2) (x \times 1 \times 2) = 0

Any expression multiplied by 1 remains the same

(x - 2) (x \times 2) = 0

Calculate the product

(x - 2) \times 2 x = 0

Separate the equation into 2 possible cases

x - 2 = 0 x = 0

Solve the equation

More Steps

x = 4 x = 0

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

x = 4 x = 0

Check if the solution is in the defined range

x = 4 x = 0, x \geq 0

Find the intersection of the solution and the defined range

x = 4 x = 0

Solution

x_{1} = 0, x_{2} = 4

Simplify the expression