Solve x^6-10x^3-27

Evaluate

x^{6} - 10 x^{3} - 27

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

x^{6} - 10 x^{3} - 27 = 0

Factor the expression

(x^{2} - x - 3) (x^{4} + x^{3} + 4 x^{2} - 3 x + 9) = 0

Separate the equation into 2 possible cases

x^{2} - x - 3 = 0 x^{4} + x^{3} + 4 x^{2} - 3 x + 9 = 0

Solve the equation

More Steps

x = \frac{1 + 13}{2} x = \frac{1 - 13}{2} x^{4} + x^{3} + 4 x^{2} - 3 x + 9 = 0

Solve the equation

x = \frac{1 + 13}{2} x = \frac{1 - 13}{2} x \in / R

Find the union

x = \frac{1 + 13}{2} x = \frac{1 - 13}{2}

Solution

x_{1} = \frac{1 - 13}{2}, x_{2} = \frac{1 + 13}{2}

Alternative Form

x_{1} \approx - 1.302776, x_{2} \approx 2.302776

Factor the expression