Answer:
Step-by-step explanation:
1.5x^2+6x+.... so that it can be rewritten in the form a(x+b)^2
Let .... be C
1.5x^2+6x+C
=1.5(x^2+4x+(C/1.5))
Compare above with 1.5(x+2)^2 = 1.5(x^2+4x+4)
C/1.5=4
C=6
So the expression should be 1.5x^2+6x+6
It can be rewritten to 1.5(x+2)^2
Let's see
Find a as a perfect square
Find c by 2ab form
So
Now
Add and subtract b^2
Hang on! it's vertex form i.e a(x-h)²+k not our required form
To find the correct C we need
Round the b² we get while solving before
Take 6?
Satisfied
We have Done!