Solve k^4<15 - ScanMath

Evaluate

k^{4} < 15

Move the expression to the left side

k^{4} - 15 < 0

Rewrite the expression

k^{4} - 15 = 0

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

k^{4} = 0 + 15

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

k^{4} = 15

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

k = \pm 415

Separate the equation into 2 possible cases

k = 415 k = - 415

Determine the test intervals using the critical values

k < - 415 - 415 < k < 415 k > 415

Choose a value form each interval

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

To determine if k < - 415 is the solution to the inequality,test if the chosen value k = - 3 satisfies the initial inequality

More Steps

k < - 415 is not a solution k_{2} = 0 k_{3} = 3

To determine if - 415 < k < 415 is the solution to the inequality,test if the chosen value k = 0 satisfies the initial inequality

More Steps

k < - 415 is not a solution - 415 < k < 415 is the solution k_{3} = 3

To determine if k > 415 is the solution to the inequality,test if the chosen value k = 3 satisfies the initial inequality

More Steps

k < - 415 is not a solution - 415 < k < 415 is the solution k > 415 is not a solution

Solution

- 415 < k < 415

Alternative Form

k \in (- 415, 415)

Solve the inequality