Solve x^2>36 - ScanMath

Evaluate

x^{2} > 36

Move the expression to the left side

x^{2} - 36 > 0

Rewrite the expression

x^{2} - 36 = 0

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

x^{2} = 0 + 36

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

x^{2} = 36

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

x = \pm 36

Simplify the expression

More Steps

x = \pm 6

Separate the equation into 2 possible cases

x = 6 x = - 6

Determine the test intervals using the critical values

x < - 6 - 6 < x < 6 x > 6

Choose a value form each interval

x_{1} = - 7 x_{2} = 0 x_{3} = 7

To determine if x < - 6 is the solution to the inequality,test if the chosen value x = - 7 satisfies the initial inequality

More Steps

x < - 6 is the solution x_{2} = 0 x_{3} = 7

To determine if - 6 < x < 6 is the solution to the inequality,test if the chosen value x = 0 satisfies the initial inequality

More Steps

x < - 6 is the solution - 6 < x < 6 is not a solution x_{3} = 7

To determine if x > 6 is the solution to the inequality,test if the chosen value x = 7 satisfies the initial inequality

More Steps

x < - 6 is the solution - 6 < x < 6 is not a solution x > 6 is the solution

Solution

x \in (- \infty, - 6) \cup (6, + \infty)

Solve the inequality