Rewrite the expression 6j^2 - 6j - 12 in the form c(j + p)^2 + q, where c, p, and q are constants. What is q/p?
The equation can be written as 6(j2−j−2).
We can divide the equation by 6 to get j2−j−2.
This is: j2−j−2=0
Add 2 to both sides: j2−j=2
Rewrite: (j−0.5)2=2+0.25
So: 6(j−0.5)2=6j2−6j+1.5
We need to subtract 13 to get the equation, so we have: 6(j−0.5)2−13
Thus, the answer is −13−0.5=26