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Solve the equation x^2 + 6x - 3 = 0 by completing the square

User Grapho
by
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1 Answer

4 votes

Answer:

x = -3+2√3,-3-2√3

Explanation:

x^2 +6x -3 =0

Add 3 to each side.

x^2 +6x -3+3 =0+3

x^2 +6x =3

Take the coefficient of the x term, divide by 2, and then square it.

6/2 = 3

3^2 =9

Add this to each side.

x^2+6x+9 = 3+9

x^2 + 6x+9 = 12

Factor.

(x+3)^2 = 12

Take the square root of each side

x+3 = ±√12

x+3 = ±2√3

Subtract 3 from each side

x+3-3 = -3±2√3

x = -3±2√3

x = -3+2√3,-3-2√3

User Kouame
by
7.8k points

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