Solve x^4>12 - ScanMath

Evaluate

x^{4} > 12

Move the expression to the left side

x^{4} - 12 > 0

Rewrite the expression

x^{4} - 12 = 0

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

x^{4} = 0 + 12

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

x^{4} = 12

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 412

Separate the equation into 2 possible cases

x = 412 x = - 412

Determine the test intervals using the critical values

x < - 412 - 412 < x < 412 x > 412

Choose a value form each interval

x_{1} = - 3 x_{2} = 0 x_{3} = 3

To determine if x < - 412 is the solution to the inequality,test if the chosen value x = - 3 satisfies the initial inequality

More Steps

x < - 412 is the solution x_{2} = 0 x_{3} = 3

To determine if - 412 < x < 412 is the solution to the inequality,test if the chosen value x = 0 satisfies the initial inequality

More Steps

x < - 412 is the solution - 412 < x < 412 is not a solution x_{3} = 3

To determine if x > 412 is the solution to the inequality,test if the chosen value x = 3 satisfies the initial inequality

More Steps

x < - 412 is the solution - 412 < x < 412 is not a solution x > 412 is the solution

Solution

x \in (- \infty, - 412) \cup (412, + \infty)

Solve the inequality