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16-x^2=55
We move all terms to the left:
16-x^2-(55)=0
We add all the numbers together, and all the variables
-1x^2-39=0
a = -1; b = 0; c = -39;
Δ = b2-4ac
Δ = 02-4·(-1)·(-39)
Δ = -156
Delta is less than zero, so there is no solution for the equation
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