How do I solve mathematical equations like "x^2 + 64 = 0"? Could you explain it to me, please?
To solve the equation x^2 + 64 = 0, you want to isolate x on one side of the equation by getting rid of the constant term.
To do this, you can subtract 64 from both sides of the equation:
x^2 + 64 - 64 = 0 - 64
This simplifies to:
x^2 = -64
To solve for x, you can take the square root of both sides of the equation:
x = ±√(-64)
Since the square root of a negative number is not a real number, the solution is complex.
Therefore, the solution to the equation x^2 + 64 = 0 is x = ±8i, where i is the imaginary unit.