Answer:
+ [tex]\frac{9}{4}[/tex]
Step-by-step 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 + ([tex]\frac{3}{2}[/tex])² = 6 + ([tex]\frac{3}{2}[/tex])²
x² + 3x + [tex]\frac{9}{4}[/tex] = 6 + [tex]\frac{9}{4}[/tex]
