SOLUTION: Find all solutions of the equation x^2+2x+7=0 and express them in the form a+bi

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Question 346719: Find all solutions of the equation x^2+2x+7=0 and express them in the form a+bi
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
0 = x^2 + 2x + 7

Use the quadratic formula:

x = [ -b ± √ ( (b)² - 4(a)(c) ) ] / 2(a)

x = [ -2 ± √ ( (2)² - 4(1)(7) ) ] / 2(1)

x = [ -2 ± √ ( 4 - 28 ) ] / 2

x = [ -2 ± √ (- 24 ) ] / 2

x = [ -2 ± 2 √6 i ] / 2

x = [ -1 ± √6 i ]

x = { -1 - √6 i, -1 + √6 i }