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

Question

Solve the equation(The real numbers system)

x \in / R

Alternative Form

No real solution

Show Solution

Solve using square roots

Solve using the quadratic formula in the complex numbers system

Solve by completing the square in the complex numbers system

x_{1} = 2 - 2 \times i, x_{2} = 2 + 2 \times i

Alternative Form

x_{1} \approx 2 - 1.414214 i, x_{2} \approx 2 + 1.414214 i

Show Solution