Question

Help me with the rest of completing this square, please..
y = 2x^2 +10x -12
y+12= 2x^2+10x
y+12= 2(x^2 +5x
5/2 = 2.5 &; 2.5^2= 6.25
y+12+12.5= 2(x^2 +5x +6.25)
I'm stuck here.

Answer 1

Im not sure i follow your work, want me to show you my steps and then compare?

Answer 2

Yes

Answer 3

So you're solving for x?

Answer 4

No, That's why I deleted lol.
I realized it's y=

Answer 5

So you just want it in vertex form?

Answer 6

general form.

Answer 7

It's already in general form though...above you say complete the square y=a(x-h)^2+k

that's vertex form

Answer 8

Than in vertex form, I'm just going by what my paper is telling me.
My next step should be factoring the trinomial (x^2 +5x +6.25) and then bringing the numbers on the left side of the equation back to the right so it is y=(the trinomial factored) -24.5.
Does that make any sense, or.. no lol

Answer 9

*equal sign

Answer 10

Hmm, here ill show you the steps and then we can get an idea

2x^2+10x-12

-pull out the 2

2(x^2+5x-6)

complete the square inside parentheses

2(x^2+5x+25/4-25/4-6)

factor first trinomial in parentheses and combine like terms

2((x+5/2)^2-49/4)

redistribute the 2

y=2(x+5/2)^2-49/2

Answer 11

It's similar to the steps I have to follow bc I also get 5/2 & 5/2^2.. hints.. the 2.5 and the 6.25.

Basically the only thing I need to complete my problem following these confusing behind steps that I have is (x^2 +5x +6.25) factored.

Answer 12

You got 6.25 from dividing 5 by 2 and then squaring it

once you do that and add the number in there it will as x plus or minus the number you had before squaring it

(x+5/2)^2 or (x+2.5)^2

Answer 13

I was just about to type that...
y + 24.5 = 2(x + 2.5)^2
y = 2(x + 2.5)^2 - 24.5

Answer 14

Thank you.