Solve 3/4a-(1/8a^5)

Evaluate

\frac{3}{4} a - (\frac{1}{8} a^{5})

To find the roots of the expression,set the expression equal to 0

\frac{3}{4} a - (\frac{1}{8} a^{5}) = 0

Multiply the terms

\frac{3}{4} a - \frac{1}{8} a^{5} = 0

Factor the expression

a (\frac{3}{4} - \frac{1}{8} a^{4}) = 0

Separate the equation into 2 possible cases

a = 0 \frac{3}{4} - \frac{1}{8} a^{4} = 0

Solve the equation

More Steps

a = 0 a = 46 a = - 46

Solution

a_{1} = - 46, a_{2} = 0, a_{3} = 46

Alternative Form

a_{1} \approx - 1.565085, a_{2} = 0, a_{3} \approx 1.565085

Factor the expression