Solve y^2-8y^48=0

Evaluate

y^{2} - 8 y^{4} \times 8 = 0

Multiply the terms

y^{2} - 64 y^{4} = 0

Factor the expression

y^{2} (1 - 64 y^{2}) = 0

Separate the equation into 2 possible cases

y^{2} = 0 1 - 64 y^{2} = 0

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

y = 0 1 - 64 y^{2} = 0

Solve the equation

More Steps

y = 0 y = \frac{1}{8} y = - \frac{1}{8}

Solution

y_{1} = - \frac{1}{8}, y_{2} = 0, y_{3} = \frac{1}{8}

Alternative Form

y_{1} = - 0.125, y_{2} = 0, y_{3} = 0.125

Solve the equation