Solve x^5>-12 - ScanMath

Evaluate

x^{5} > - 12

Move the expression to the left side

x^{5} - (- 12) > 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

x^{5} + 12 > 0

Rewrite the expression

x^{5} + 12 = 0

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

x^{5} = 0 - 12

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

x^{5} = - 12

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

5 x^{5} = 5 - 12

Calculate

x = 5 - 12

An odd root of a negative radicand is always a negative

x = - 512

Determine the test intervals using the critical values

x < - 512 x > - 512

Choose a value form each interval

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

To determine if x < - 512 is the solution to the inequality,test if the chosen value x = - 3 satisfies the initial inequality

More Steps

x < - 512 is not a solution x_{2} = - 1

To determine if x > - 512 is the solution to the inequality,test if the chosen value x = - 1 satisfies the initial inequality

More Steps

x < - 512 is not a solution x > - 512 is the solution

Solution

x > - 512

Alternative Form

x \in (- 512, + \infty)

Solve the inequality