Solve the equation x^2 + 5x = -1 by completing the square.
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Answer :
According to the equation,
x² + 5x = - 1
x² + 5x + 1 = 0
Using Quadric Formula
x = - b ± √ b² - 4ac / 2a
x = - (5) ± √ (5)² - 4 (1) (1) / 2 (1)
x = - 5 ± √ 25 -4 / 2
x = - 5 ± √ 21 / 2
So the required answer is
- 5 ± √ 21
x = —————
2
The answer is option C or 3.