Solve x^2x >21 - ScanMath

Evaluate

x^{2} \times x > 21

Multiply the terms

More Steps

x^{3} > 21

Move the expression to the left side

x^{3} - 21 > 0

Rewrite the expression

x^{3} - 21 = 0

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

x^{3} = 0 + 21

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

x^{3} = 21

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

3 x^{3} = 321

Calculate

x = 321

Determine the test intervals using the critical values

x < 321 x > 321

Choose a value form each interval

x_{1} = 2 x_{2} = 4

To determine if x < 321 is the solution to the inequality,test if the chosen value x = 2 satisfies the initial inequality

More Steps

x < 321 is not a solution x_{2} = 4

To determine if x > 321 is the solution to the inequality,test if the chosen value x = 4 satisfies the initial inequality

More Steps

x < 321 is not a solution x > 321 is the solution

Solution

x > 321

Alternative Form

x \in (321, + \infty)

Solve the inequality