Solve x^2>4 - ScanMath

Evaluate

x^{2} > 4

Move the expression to the left side

x^{2} - 4 > 0

Rewrite the expression

x^{2} - 4 = 0

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

x^{2} = 0 + 4

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

x^{2} = 4

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

x = \pm 4

Simplify the expression

More Steps

x = \pm 2

Separate the equation into 2 possible cases

x = 2 x = - 2

Determine the test intervals using the critical values

x < - 2 - 2 < x < 2 x > 2

Choose a value form each interval

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

To determine if x < - 2 is the solution to the inequality,test if the chosen value x = - 3 satisfies the initial inequality

More Steps

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

To determine if - 2 < x < 2 is the solution to the inequality,test if the chosen value x = 0 satisfies the initial inequality

More Steps

x < - 2 is the solution - 2 < x < 2 is not a solution x_{3} = 3

To determine if x > 2 is the solution to the inequality,test if the chosen value x = 3 satisfies the initial inequality

More Steps

x < - 2 is the solution - 2 < x < 2 is not a solution x > 2 is the solution

Solution

x \in (- \infty, - 2) \cup (2, + \infty)

Solve the inequality