Question

reward 20 medals



find g(x) number 3

http://assets.openstudy.com/updates/attachments/53d4352ee4b081ba963ba333-jenniferjuice-1406416967388-thing1and2.png

http://assets.openstudy.com/updates/attachments/53d4352ee4b081ba963ba333-jenniferjuice-1406416697002-yah.png

the question is #3 : http://assets.openstudy.com/updates/attachments/53d43236e4b081ba963ba209-jenniferjuice-1406415438454-onemore.png

i have to find g(x)

Answer 1

@rock_mit182 this is the work sheet

Answer 2

most quadratics don't come neatly squared like this. For your average everyday quadratic, you first have to use the technique of "completing the square" to rearrange the quadratic into the neat "(squared part) equals (a number)"

Answer 3

how?

Answer 4

make g(x) --> 0

Answer 5

cause we need to find the roots of the function or in other words its solution

Answer 6

\[g(x) =0\]
\[x ^{2} +6x +1 = 0 \]

Answer 7

g(x)= x^2 + 6x + 1
?

Answer 8

Move the loose number over to the other side.

Answer 9

in this case is 1

Answer 10

\[x ^{2}+6x = -1\]

Answer 11

wait so..? what do i do now?

Answer 12

Divide through by whatever is multiplied on the squared term.

Answer 13

in this case 1, that means no change

Answer 14

Now ,Take half of the coefficient (don't forget the sign!) of the x-term, and square it. Add this square to both sides of the equation

Answer 15

ready, how the equation looks like now ?

Answer 16

hold up i lost my pencil