Solve a^2-54a^648=0

Evaluate

a^{2} - 54 a^{6} \times 48 = 0

Multiply the terms

a^{2} - 2592 a^{6} = 0

Factor the expression

a^{2} (1 - 2592 a^{4}) = 0

Separate the equation into 2 possible cases

a^{2} = 0 1 - 2592 a^{4} = 0

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

a = 0 1 - 2592 a^{4} = 0

Solve the equation

More Steps

a = 0 a = \frac{4 8}{12} a = - \frac{4 8}{12}

Solution

a_{1} = - \frac{4 8}{12}, a_{2} = 0, a_{3} = \frac{4 8}{12}

Alternative Form

a_{1} \approx - 0.140149, a_{2} = 0, a_{3} \approx 0.140149

Solve the equation