Ask your own question, for FREE!
Mathematics 22 Online
OpenStudy (anonymous):

Quadratic Equation | Is my answer correct? http://gyazo.com/e11e566bf7bebd14455dff7c75e86e2b

OpenStudy (anonymous):

Please, not all at once. D:

OpenStudy (amistre64):

there are many ways to approach this so there is no 'correct first step'. if you are expected to go by some method prescribed in your material, then you will have to share that material.

OpenStudy (anonymous):

It wants me to show the first step on making it into this format:

OpenStudy (amistre64):

i can do any of the options and still reach a final conclusion ....

OpenStudy (anonymous):

(x-p)^2 = q

OpenStudy (anonymous):

So basically, the first step to converting it.

OpenStudy (anonymous):

May I show you what I think?

OpenStudy (amistre64):

please do

OpenStudy (anonymous):

Hm.

OpenStudy (anonymous):

GIve me a second please

OpenStudy (anonymous):

Sorry.

OpenStudy (amistre64):

focus on making a complete square

OpenStudy (anonymous):

Yes, so (x - 9) * (x-9)

OpenStudy (anonymous):

Then (x-9)^2

OpenStudy (amistre64):

(x+9)^2 yes what do we get when we expand it?

OpenStudy (amistre64):

x-9 squares out to -18x which is not correct

OpenStudy (anonymous):

I'm not too sure what to do then, in that case.

OpenStudy (anonymous):

Tell me what you think

OpenStudy (amistre64):

do you agree that we want (x+9)^2 ??

OpenStudy (anonymous):

Does it correspond to the answer to my problem?

OpenStudy (amistre64):

(x+n)^2 = x^2 + 2n x + n^2 therefore 2n = 18 when n=9 (x+9)^2 = x^2 + 18x + 81

OpenStudy (amistre64):

as such, we want to convert the last term: 76+x = 81 when x=?

OpenStudy (anonymous):

x = 5

OpenStudy (amistre64):

then lets add x to each side, and x=5

OpenStudy (anonymous):

So then we subtract 5!

OpenStudy (anonymous):

oh XD

OpenStudy (anonymous):

So then my answer would be B, amistre?

OpenStudy (amistre64):

x^2 + 18x + 76 + x = 0 + x x^2 + 18x + 76 + 5 = 5 x^2 + 18x + 81 = 5

OpenStudy (amistre64):

yes add 5 :) B is fine

OpenStudy (anonymous):

Thanks, you helped a lot :DDD

OpenStudy (amistre64):

now, if we add 9 and then subtract 4, we have still gotten to adding a net of 5, so A works as a first step if we subtract 5 and add 10, then we have added a net of 5 and C works as a first step if we subtract 9 and add 14, then we have added a net of 5 and D works as a first step

OpenStudy (amistre64):

but if we add 5 and subtract nothing, we have added a net of 5 an B is the 'quickest' option

OpenStudy (anonymous):

Yes.

OpenStudy (amistre64):

as you can see, i can 'start' with any of the options as a first step and still get to the final conclusion. so the questionis simply worded poorly

OpenStudy (anonymous):

Yeah, FLVS is known for that ;)

OpenStudy (anonymous):

Thanks again.

OpenStudy (amistre64):

good luck :)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!