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Rodolfo
Mathematics
12 June, 15:31
X2+2x+8=0 solve by completing the square
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Andreas Mann
12 June, 15:57
0
x = i sqrt (7) - 1 or x = - i sqrt (7) - 1
Step-by-step explanation:
Solve for x:
x^2 + 2 x + 8 = 0
Subtract 8 from both sides:
x^2 + 2 x = - 8
Add 1 to both sides:
x^2 + 2 x + 1 = - 7
Write the left hand side as a square:
(x + 1) ^2 = - 7
Take the square root of both sides:
x + 1 = i sqrt (7) or x + 1 = - i sqrt (7)
Subtract 1 from both sides:
x = i sqrt (7) - 1 or x + 1 = - i sqrt (7)
Subtract 1 from both sides:
Answer: x = i sqrt (7) - 1 or x = - i sqrt (7) - 1
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