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x2 + 8x + 100

Let x2 + 8x + 100 = 0. Complete the square (the best choice).

x2 + 8x + 100 = 0 add 42 and subtract 100 to both sides

x2 + 8x + 42 = 16 - 100

(x + 4)2 = -84 Take the square root of both sides

x + 4 = ± √-84 subtract 4 to both sides and write 84 as 4*21

x = -4 ± 2(√21)i

Thus, x = -4 - 2(√21)i or x = -4 + 2(√21)i.

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