Answer:
x = -2 + 2√2 i and -2 - 2√2 i
Step-by-step explanation:
Given the function, y=-x^2+4x-12
x intercept occurs at y = 0
Substitute y = 0
0=-x^2+4x-12
x^2 - 4x + 12 = 0
Factorize
x = -4±√4²-4(12)/2
x = -4±√16-48/2
x = -4±√-32/2
x = -4 ± √32 i/2
x = -4+4√2 i/2 and x =-4-4√2 i/2
x = -2 + 2√2 i and -2 - 2√2 i
