Solve (x^4)(x-9)>0

Evaluate

x^{4} (x - 9) > 0

Rewrite the expression

x^{4} (x - 9) = 0

Separate the equation into 2 possible cases

x^{4} = 0 x - 9 = 0

The only way a power can be 0 is when the base equals 0

x = 0 x - 9 = 0

Solve the equation

More Steps

x = 0 x = 9

Determine the test intervals using the critical values

x < 0 0 < x < 9 x > 9

Choose a value form each interval

x_{1} = - 1 x_{2} = 5 x_{3} = 10

To determine if x < 0 is the solution to the inequality,test if the chosen value x = - 1 satisfies the initial inequality

More Steps

x < 0 is not a solution x_{2} = 5 x_{3} = 10

To determine if 0 < x < 9 is the solution to the inequality,test if the chosen value x = 5 satisfies the initial inequality

More Steps

x < 0 is not a solution 0 < x < 9 is not a solution x_{3} = 10

To determine if x > 9 is the solution to the inequality,test if the chosen value x = 10 satisfies the initial inequality

More Steps

x < 0 is not a solution 0 < x < 9 is not a solution x > 9 is the solution

Solution

x > 9

Alternative Form

x \in (9, + \infty)

Solve the inequality