Answer:-
The quadratic equation 4x² + 64 = 0 can be solved by first isolating x². Start by subtracting 64 from both sides: 4x² = -64. Next, divide both sides by 4: x² = -16. Now, take the square root of both sides. Since x² = -16 has no real solutions (the square root of a negative number isn't real), the solutions are complex numbers. The solutions are: x = ± 4i. Thus, the solutions to the equation 4x² + 64 = 0 are x = 4i and x = -4i.
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