SOLUTION: Write the following in vertex form x=5-6y-3y^2 I know you have to use the technique of completing the square but I was having trouble doing it. If you could show me step by step t

Algebra ->  Equations -> SOLUTION: Write the following in vertex form x=5-6y-3y^2 I know you have to use the technique of completing the square but I was having trouble doing it. If you could show me step by step t      Log On


   

Question 1044664: Write the following in vertex form x=5-6y-3y^2
I know you have to use the technique of completing the square but I was having trouble doing it. If you could show me step by step that would be helpful.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Write the following in vertex form x=5-6y-3y^2
I know you have to use the technique of completing the square but I was having trouble doing it. If you could show me step by step that would be helpful. 
x+=+5+-+6y+-+3y%5E2

x+=+-+3y%5E2+-+6y+%2B+5

x+=+-+3%28y%5E2+%2B+2y+-+5%2F3%29

x+=+-+3%28y%5E2+%2B+2y+%2B+1+-+1+-+5%2F3%29 ------ Taking 1%2F2 of b, squaring it, ADDING the result, and then SUBTRACTING the result in order to maintain the integrity of the polynomial

x+=+-+3%28y%5E2+%2B+2y+%2B+1%29+-+3%28-+1%29+-+3%28-+5%2F3%29 ------ Grouping PERFECT-SQUARE TRINOMIAL

x+=+-+3%28y+%2B+1%29%5E2+%2B+3+%2B+5 ------ Converting PERFECT-SQUARE TRINOMIAL 

highlight_green%28x+=+-+3%28y+%2B+1%29%5E2+%2B+8%29