Question

Part 1:
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
Part 2:
Using complete sentences, answer the following questions about the two quadratic equations above.
Do the two quadratic equations have anything in common? If so, what?
What makes y = x2 + 4x + 4 different from y = x2 + 5x + 6?

Answer 1

does anyone know how to do the questions I posted?

Answer 2

\[0 = x^2 + 5x + 6 \] factor to write as
\[0=(x+3)(x+2)\]
set each factor equal to zero to get
\[x+3=0\] or \[x+2=0\] solve each get
\(x=-3\) or \(x=-2\)

Answer 3

that was silly
the second one is a perfect square
\[x^2+4x+4=0\]
\[(x+2)^2=0\]
\[x=-2\]
only one solution to this one

Answer 4

i will leave the complete sentences up to you, because i am functionally illiterate

Answer 5

thank you soo much :D