Solve |x^4| > 9 - ScanMath

Evaluate

x^{4} > 9

When the expression in absolute value bars is not negative, remove the bars

x^{4} > 9

Move the expression to the left side

x^{4} - 9 > 0

Rewrite the expression

x^{4} - 9 = 0

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

x^{4} = 0 + 9

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

x^{4} = 9

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

x = \pm 49

Simplify the expression

More Steps

x = \pm 3

Separate the equation into 2 possible cases

x = 3 x = - 3

Determine the test intervals using the critical values

x < - 3 - 3 < x < 3 x > 3

Choose a value form each interval

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

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

More Steps

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

To determine if - 3 < x < 3 is the solution to the inequality,test if the chosen value x = 0 satisfies the initial inequality

More Steps

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

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

More Steps

x < - 3 is the solution - 3 < x < 3 is not a solution x > 3 is the solution

Solution

x \in (- \infty, - 3) \cup (3, + \infty)

Solve the inequality