Solve x^4-5x^2-6x-5=0

Evaluate

x^{4} - 5 x^{2} - 6 x - 5 = 0

Factor the expression

(x^{2} - x - 5) (x^{2} + x + 1) = 0

Separate the equation into 2 possible cases

x^{2} - x - 5 = 0 x^{2} + x + 1 = 0

Solve the equation

More Steps

x = \frac{1 + 21}{2} x = \frac{1 - 21}{2} x^{2} + x + 1 = 0

Solve the equation

More Steps

x = \frac{1 + 21}{2} x = \frac{1 - 21}{2} x \in / R

Find the union

x = \frac{1 + 21}{2} x = \frac{1 - 21}{2}

Solution

x_{1} = \frac{1 - 21}{2}, x_{2} = \frac{1 + 21}{2}

Alternative Form

x_{1} \approx - 1.791288, x_{2} \approx 2.791288

Solve the equation