Solve x^2 \sqrt (1 x) = 1

Evaluate

x^{2} 1 \times x = 1

Find the domain

More Steps

x^{2} 1 \times x = 1, x \geq 0

Any expression multiplied by 1 remains the same

x^{2} x = 1

Raise both sides of the equation to the 2 -th power to eliminate the isolated 2 -th root

(x^{2} x)^{2} = 1^{2}

Evaluate the power

x^{5} = 1

Take the 5 -th root on both sides of the equation

5 x^{5} = 51

Calculate

x = 51

Simplify the root

x = 1

Check if the solution is in the defined range

x = 1, x \geq 0

Find the intersection of the solution and the defined range

x = 1

Solution

More Steps

x = 1

Solve the equation