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dondre54
25.06.2019 •
Mathematics
Find all solutions to the equation equation (x - 1)^2 = -4.
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Ответ:
x = 1±2i
Step-by-step explanation:
(x - 1)^2 = -4.
Take the square root of each side
sqrt( (x - 1)^2) = sqrt(-4)
Sqrt(ab) = sqrt(a)sqrt(b)
We know the sqrt(4) = 2 and the sqrt(-1) = ±i
x-1 = ±2i
Add 1 to each side
x-1+1 = 1±2i
x = 1±2i
Ответ: