Solve x^2 x - 5>0

Evaluate

x^{2} \times x - 5 > 0

Multiply the terms

More Steps

x^{3} - 5 > 0

Rewrite the expression

x^{3} - 5 = 0

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

x^{3} = 0 + 5

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

x^{3} = 5

Take the 3 -th root on both sides of the equation

3 x^{3} = 35

Calculate

x = 35

Determine the test intervals using the critical values

x < 35 x > 35

Choose a value form each interval

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

To determine if x < 35 is the solution to the inequality,test if the chosen value x = 1 satisfies the initial inequality

More Steps

x < 35 is not a solution x_{2} = 3

To determine if x > 35 is the solution to the inequality,test if the chosen value x = 3 satisfies the initial inequality

More Steps

x < 35 is not a solution x > 35 is the solution

Solution

x > 35

Alternative Form

x \in (35, + \infty)

Solve the inequality