166k views
2 votes
What number should be added to both sides of the equation to complete the square x^2 + 3x = 6​

User Extreme
by
6.6k points

1 Answer

7 votes

Answer:

+
(9)/(4)

Explanation:

To complete the square, with the coefficient of the x² term = 1

add ( half the coefficient of the x- term)² to both sides

x² + 3x + (
(3)/(2))² = 6 + (
(3)/(2)

x² + 3x +
(9)/(4) = 6 +
(9)/(4)

User Toothful
by
7.0k points
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