Algebra-1

To solve the quadratic equation -2x² + 4x = 9, we can rearrange it to the standard form:

-2x² + 4x - 9 = 0

Comparing this equation to the standard form ax² + bx + c = 0, we have:
a = -2
b = 4
c = -9

Now, we can apply the quadratic formula:






Since the discriminant  is negative, we can simplify the solutions using the imaginary unit i, defined as the square root of -1: