Solve |x^5|=x^5 - ScanMath

Evaluate

x^{5} = x^{5}

Rewrite the expression

x^{5} - x^{5} = 0

Separate the equation into 2 possible cases

x^{5} - x^{5} = 0, x^{5} \geq 0 - x^{5} - x^{5} = 0, x^{5} < 0

The statement is true for any value of x

More Steps

x \in R, x^{5} \geq 0 - x^{5} - x^{5} = 0, x^{5} < 0

The only way a base raised to an odd power can be greater than or equal to 0 is if the base is greater than or equal to 0

x \in R, x \geq 0 - x^{5} - x^{5} = 0, x^{5} < 0

Solve the equation

More Steps

x \in R, x \geq 0 x = 0, x^{5} < 0

The only way a base raised to an odd power can be less than 0 is if the base is less than 0

x \in R, x \geq 0 x = 0, x < 0

Find the intersection

x \geq 0 x = 0, x < 0

Find the intersection

x \geq 0 x \in \emptyset

Solution

x \geq 0

Alternative Form

x \in [0, + \infty)

Solve the equation