Question

x^2+3x @satellite73

Answer 1

is it really \[x^2+3x=0\]? or something else?

Answer 2

Well I should have ine included the instructions, sorry about that. Basically, I am being asked to determine the constant that should be added to the binomialso that it becomes a perfect square trinomial. Then write and factor the trinomial.

Answer 3

oh we can do that
takes two steps
1) what is half of 3 (answer as a fraction)

Answer 4

1 (1)/(2)?

Answer 5

lol fraction, no one likes mixed numbers

Answer 6

...3/2?

Answer 7

right
step 2, what is \(\left(\frac{3}{2}\right)^2\) ?

Answer 8

9/4?

Answer 9

bingo

Answer 10

the perfect square is
\[x^2+3x+\frac{9}{4}\]
it is the same as
\[(x+\frac{3}{2})^2\]

Answer 11

hope it is more or less clear, they all work that way

Answer 12

would that answer the second part of the question which was to factor the trinomial?

Answer 13

yes

Answer 14

alright! thanks :)

Answer 15

yw