-2x^2 - 1 = 0

1 answer

To solve the equation -2x^2 - 1 = 0, first add 1 to both sides:

-2x^2 = 1

Next, divide by -2:

x^2 = -1/2

Take the square root of both sides:

x = ±√(-1/2)

The square root of a negative number is imaginary, so the solution is:

x = ± i√(1/2)
x = ± (1/√2)i

Therefore, the solutions are x = (1/√2)i and x = -(1/√2)i.