Solve x-x^3/3 x^5/5

Evaluate

x - \frac{x ^{3}}{3} \times \frac{x ^{5}}{5}

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

x - \frac{x ^{3}}{3} \times \frac{x ^{5}}{5} = 0

Multiply the terms

More Steps

x - \frac{x ^{8}}{15} = 0

Subtract the terms

More Steps

\frac{15 x - x ^{8}}{15} = 0

Simplify

15 x - x^{8} = 0

Factor the expression

x (15 - x^{7}) = 0

Separate the equation into 2 possible cases

x = 0 15 - x^{7} = 0

Solve the equation

More Steps

x = 0 x = 715

Solution

x_{1} = 0, x_{2} = 715

Alternative Form

x_{1} = 0, x_{2} \approx 1.472357

Simplify the expression