Solve x^(4)-8x>0 - ScanMath

Question

Solve the inequality

Solve the inequality by testing the values in the interval

Solve the inequality by separating into cases

x \in (- \infty, 0) \cup (2, + \infty)

Evaluate

x^{4} - 8 x > 0

Rewrite the expression

x^{4} - 8 x = 0

Factor the expression

x (x^{3} - 8) = 0

Separate the equation into 2 possible cases

x = 0 x^{3} - 8 = 0

Solve the equation

More Steps

x = 0 x = 2

Determine the test intervals using the critical values

x < 0 0 < x < 2 x > 2

Choose a value form each interval

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

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 the solution x_{2} = 1 x_{3} = 3

To determine if 0 < x < 2 is the solution to the inequality,test if the chosen value x = 1 satisfies the initial inequality

More Steps

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

To determine if x > 2 is the solution to the inequality,test if the chosen value x = 3 satisfies the initial inequality

More Steps

x < 0 is the solution 0 < x < 2 is not a solution x > 2 is the solution

Solution

x \in (- \infty, 0) \cup (2, + \infty)

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