Solve (x^2 2x)^2-2(x^2 2x)-3=0

Question

Solve the equation

x_{1} = - \frac{3 4}{2}, x_{2} = \frac{3 12}{2}

Alternative Form

x_{1} \approx - 0.793701, x_{2} \approx 1.144714

Evaluate

(x^{2} \times 2 x)^{2} - 2 (x^{2} \times 2 x) - 3 = 0

Remove the parentheses

(x^{2} \times 2 x)^{2} - 2 x^{2} \times 2 x - 3 = 0

Simplify

More Steps

4 x^{6} - 4 x^{3} - 3 = 0

Factor the expression

(2 x^{3} - 3) (2 x^{3} + 1) = 0

Separate the equation into 2 possible cases

2 x^{3} - 3 = 0 2 x^{3} + 1 = 0

Solve the equation

More Steps

x = \frac{3 12}{2} 2 x^{3} + 1 = 0

Solve the equation

More Steps

x = \frac{3 12}{2} x = - \frac{3 4}{2}

Solution

x_{1} = - \frac{3 4}{2}, x_{2} = \frac{3 12}{2}

Alternative Form

x_{1} \approx - 0.793701, x_{2} \approx 1.144714

Show Solution