Solve k*k^4-8>10 - ScanMath

Evaluate

k \times k^{4} - 8 > 10

Multiply the terms

More Steps

k^{5} - 8 > 10

Move the expression to the left side

k^{5} - 8 - 10 > 0

Subtract the numbers

k^{5} - 18 > 0

Rewrite the expression

k^{5} - 18 = 0

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

k^{5} = 0 + 18

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

k^{5} = 18

Take the 5 -th root on both sides of the equation

5 k^{5} = 518

Calculate

k = 518

Determine the test intervals using the critical values

k < 518 k > 518

Choose a value form each interval

k_{1} = 1 k_{2} = 3

To determine if k < 518 is the solution to the inequality,test if the chosen value k = 1 satisfies the initial inequality

More Steps

k < 518 is not a solution k_{2} = 3

To determine if k > 518 is the solution to the inequality,test if the chosen value k = 3 satisfies the initial inequality

More Steps

k < 518 is not a solution k > 518 is the solution

Solution

k > 518

Alternative Form

k \in (518, + \infty)

Solve the inequality