Solve x^5=3x 13/2

Evaluate

x^{5} = 3 x \times \frac{13}{2}

Multiply the terms

More Steps

x^{5} = \frac{39}{2} x

Move the expression to the left side

x^{5} - \frac{39}{2} x = 0

Factor the expression

x (x^{4} - \frac{39}{2}) = 0

Separate the equation into 2 possible cases

x = 0 x^{4} - \frac{39}{2} = 0

Solve the equation

More Steps

x = 0 x = \frac{4 312}{2} x = - \frac{4 312}{2}

Solution

x_{1} = - \frac{4 312}{2}, x_{2} = 0, x_{3} = \frac{4 312}{2}

Alternative Form

x_{1} \approx - 2.1014, x_{2} = 0, x_{3} \approx 2.1014

Solve the equation