Answer:
The number that is added both side to make the equation a perfect square is
[tex]\frac{9}{4}[/tex]
Step-by-step explanation:
The given equation is :[tex]x^{2} +3x=6[/tex]
The equation is of the form [tex]ax^{2} +bx+c=0[/tex]
To solve the equation by completing a square we take half of b term and square it .
This is added to both sides.
Comparing the equations we have b=3 .
We take half of 3 and square it that is :
[tex](\frac{3}{2}) ^{2} =\frac{9}{4}[/tex]
So [tex]\frac{9}{4}[/tex] isadded to both side to complete the square .
