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x^2+1^2=-48
We move all terms to the left:
x^2+1^2-(-48)=0
We add all the numbers together, and all the variables
x^2+49=0
a = 1; b = 0; c = +49;
Δ = b2-4ac
Δ = 02-4·1·49
Δ = -196
Delta is less than zero, so there is no solution for the equation
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