Solve x^5>6 - ScanMath

Evaluate

x^{5} > 6

Move the expression to the left side

x^{5} - 6 > 0

Rewrite the expression

x^{5} - 6 = 0

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

x^{5} = 0 + 6

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

x^{5} = 6

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

5 x^{5} = 56

Calculate

x = 56

Determine the test intervals using the critical values

x < 56 x > 56

Choose a value form each interval

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

To determine if x < 56 is the solution to the inequality,test if the chosen value x = 0 satisfies the initial inequality

More Steps

x < 56 is not a solution x_{2} = 2

To determine if x > 56 is the solution to the inequality,test if the chosen value x = 2 satisfies the initial inequality

More Steps

x < 56 is not a solution x > 56 is the solution

Solution

x > 56

Alternative Form

x \in (56, + \infty)

Solve the inequality