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30 votes
30 votes
Helppppppppppppppppppypyppyoyoyoyoy

Helppppppppppppppppppypyppyoyoyoyoy-example-1
User Caffiend
by
3.0k points

1 Answer

24 votes
24 votes

We are to solve using completing the square:

1/4x² + x + 1/4 = 0

Let's collect like terms:

1/4x² + x = -1/4

Divide both sides by the coefficient of x-squared:

x² + 4x = -1

Take half of the coefficient of x, square it, then add to both sides:

x² + 4x + 4 = -1 + 4

factor the left side of the equation:

(x + 2)² = 3

Take the root of both sides;

x + 2 = ±√3

Add 2 to both sides:

x = ±√(3) - 2

x = -2 + √3 or x = -2 - √3

herefore, the correct option is B, which is x = -2 + √3 or x = -2 - √3

User Sandeep Rawat
by
3.1k points
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