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17-01-2019
Mathematics

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Find all solutions to the equation equation (x - 1)^2 = -4.

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wegnerkolmp2741o wegnerkolmp2741o

17-01-2019

Answer:

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

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