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Are you sure that the given expressions are right? Because we are dealing with complex numbers (a little bit work for this kind of exercise).

ab = 4x + 8

bc = 8x + 4

ac = 18x - 11

b = a/(4x + 8)

c = b/(8x + 4) = [a/(4x + 8)[/(8x + 4) = a/[(4x + 8)(8x + 4)]

c = a/(18x - 11)

a/[(4x + 8)(8x + 4)] = a/(18x - 11) this happens only when:

(4x + 8)(8x + 4) = (18x - 11)

32x^2 + 16x + 64x + 32 = 18x - 11

32x^2 + 62x + 43 = 0

x = [-62 ± √(62^2 - (4)(32)(43)]/[(2)(32)]

x = [-62 ± √(-1660)]/64

x = [-62 ± i√(1660)]/64

x = -62/64 ± i√(1660/4096) (64^2 = 4096)

x = -31/32 ± i√[415/1024]

Substitute -31/32 ± i√[415/1024] for x, and find the value of ab, bc, and ac.

ab = 4x + 8

bc = 8x + 4

ac = 18x - 11

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