Question

Can someone please help me with this?
I had to solve it once before but I have to turn in the notes to my teacher and I can't find them and right now I can't remember how to work the formula, so I'm having some issues.
Help would be greatly appreciated! Thank you! :)

Solve each of the quadratic equations below and describe what the solution(s) represent to the graph of each. Show your work to receive full credit.
0 = x2 + 5x + 6
0 = x2 + 4x + 4

Answer 1

Ill do the first, and hopefully you can do the second:

x^2 +5x +6 = 0
(x+2)(x+3) = 0

x + 2 = 0
x = -2

x + 3 = 0
x = -3

Answer 2

http://www.analyzemath.com/Equations/Quadratic-1.html
for the second equation
the D=0
this means that there will be only one zero

Answer 3

and that zero will be -b/(2a) in this case -(1/2)

Answer 4

Thank you blurbendy! :)

Thank you Noided! :)
Also, Noided, I'm really confused... I'm not very good at quadratics, so I'm not exactly sure how to do step two. I need to group them, right?

Answer 5

hmm wait

Answer 6

step1 is calculating the discriminant, right?

Answer 7

I think so, yes. lol

Answer 8

then step 2 would be deciding what to do
D<0
don't do anything
D=0
calculate -b/(2a)
if D>0
calculat (-b+sqrt(D))/(2a)
and also (b+sqrt(D))/(2a)

Answer 9

okidokie pianissimokie?

Answer 10

easy peasy?

Answer 11

you get it Maddy? It's easy now huh?!

Answer 12

this can give you some insights, play around a bit with it: http://www.mathsisfun.com/quadratic-equation-solver.html

if D=0 the top of the function will touch the x-axis
D>0 it will cross it twice
D<0 it will never cross nor touch it

Answer 13

Uhm, honestly I'm still really confused. lol :/ I suck at math.

Answer 14

personally, it's easier for me to factor first, then just solve for x. that way you don't have to worry about solving the discriminant.

did you follow my first example?

Answer 15

I was taught to factor first as well, that might be why I'm getting confused.
I'm trying to follow your first example.

Answer 16

basically i found which two numbers ADD up to 5 and MULTIPLY to get 6

Answer 17

Is this correct?

0=x^2+4x+4
x^2+4x+4=0
(x+2)^2+0
x+2=0
x=-2

Answer 18

perfect

Answer 19

Okay, thank you guys soo much!!! I really appreciate it!!! :)

Answer 20

anytime!

Answer 21

:)

Answer 22

I did the formula's with a friend last time and I couldn't remember how to do it on my own. If I could've done the problems on my own, I would have but I needed some help. I don't understand quadratic formula's and I kinda suck at math. So, they weren't excuses, it was factual. Have a good day. :)