Respuesta :
Answer:
[tex]\frac{9}{4}[/tex]
Step-by-step explanation:
Given
x² + 3x = 6
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2([tex]\frac{3}{2}[/tex] )x + ([tex]\frac{3}{2}[/tex] )² = 6 + ([tex]\frac{3}{2}[/tex] )²
The number added to both sides is ([tex]\frac{3}{2}[/tex] )² = [tex]\frac{9}{4}[/tex]
