Solve 3(x^5)>21 - ScanMath

Evaluate

3 x^{5} > 21

Move the expression to the left side

3 x^{5} - 21 > 0

Rewrite the expression

3 x^{5} - 21 = 0

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

3 x^{5} = 0 + 21

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

3 x^{5} = 21

Divide both sides

\frac{3 x ^{5}}{3} = \frac{21}{3}

Divide the numbers

x^{5} = \frac{21}{3}

Divide the numbers

More Steps

x^{5} = 7

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

5 x^{5} = 57

Calculate

x = 57

Determine the test intervals using the critical values

x < 57 x > 57

Choose a value form each interval

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

To determine if x < 57 is the solution to the inequality,test if the chosen value x = 0 satisfies the initial inequality

More Steps

x < 57 is not a solution x_{2} = 2

To determine if x > 57 is the solution to the inequality,test if the chosen value x = 2 satisfies the initial inequality

More Steps

x < 57 is not a solution x > 57 is the solution

Solution

x > 57

Alternative Form

x \in (57, + \infty)

Solve the inequality