![jaqui94](/avatars/35814.jpg)
jaqui94
02.07.2019 •
Mathematics
1. what is the vertex form of the equation?
2. what is the expression in factored form?
3. use the quadratic formula to solve the equation.
4. simplify the expression. ![(-2i)(8i)](/tex.php?f=(-2i)(8i))
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Ответ:
1.vertex form is![y=a(x-h)^2+k](/tpl/images/1155/0979/a40b9.png)
to get into vertex form, complete the square
step 1: group x terms
step 2: factor coefient in front of x^2 term
prep for next step: take 1/2 of linear (1st dgree term) and square it
step 3: add positive and negative of that previous number inside the parenthasees
factor perfect squaer trionmial
take out that -36 by expansion
2. factor out the 2
what 2 numbers multiply to get 12 and add to get 8?
2 and 6
3.
for![ax^2+bx+c=0](/tpl/images/1155/0979/2bf73.png)
in our case
a=1, b=-7, c=-6
so
and ![x=\frac{7-\sqrt{73}}{2}](/tpl/images/1155/0979/d3d2c.png)
4. remember that
so ![i^2=-1](/tpl/images/1155/0979/45265.png)
treat
as a variable
[tex}16[/tex]
Ответ:
Step-by-step explanation: