Solve 5k^6 = 6k^2

Evaluate

5 k^{6} = 6 k^{2}

Add or subtract both sides

5 k^{6} - 6 k^{2} = 0

Factor the expression

k^{2} (5 k^{4} - 6) = 0

Separate the equation into 2 possible cases

k^{2} = 0 5 k^{4} - 6 = 0

The only way a power can be 0 is when the base equals 0

k = 0 5 k^{4} - 6 = 0

Solve the equation

More Steps

k = 0 k = \frac{4 750}{5} k = - \frac{4 750}{5}

Solution

k_{1} = - \frac{4 750}{5}, k_{2} = 0, k_{3} = \frac{4 750}{5}

Alternative Form

k_{1} \approx - 1.046635, k_{2} = 0, k_{3} \approx 1.046635

Solve the equation