Answer:
-1.25 ± 0.90i correct to the nearest hundredth
Explanation:
-40x = 16x2 + 38
16x^2 + 40x + 38 = 0 Simplify by dividing by 2:
8x^2 + 20x + 19 = 0
Using the quadratic formula:
x = [ -b ±√(b^2 - 4ac) ] / 2a
Plug in the coefficients of our equation:
x = [ -20 ±√(20^2 - 4*8*19) ] / 2*8
= -5/4 ± √(-208)/16
= -5/4 ± 14.4222i/16
= -1.25 ± 0.90i correct to the nearest hundredth.