Question

i need to complete the square of -36x^2-36x+27

Answer 1

have you tried solving this?

Answer 2

yes. initially i divided each variable by 36, but then i got a bunch of fractions and it did not make sense to me. Do i need to divide by 36?

Answer 3

ok well that's a good start :)
and yes you will end up with a bunch of fractions, it happens ;)

i'll tell you what to do, try that, then let me know what answer you get... are we good?

Answer 4

yes! please

Answer 5

ok, i got x^2+x+(1/2)^2=-27/36-1/4

Answer 6

uhhh close, but not quite.
you should've divided by -36
that way you'd have

\(\large x^2+x=\frac{27}{36}\)

Answer 7

sorry for late reply, i lost connection

Answer 8

ok, im going to try that. no problem, im doing some other problems while i wait

Answer 9

then with the next step, you'd get
\(\large x^2+x+\frac{1}{4}=\frac{27}{36}+\frac{1}{4} \)

Answer 10

ok, i have x^2+x+1/4=1/2

Answer 11

\(\large \frac{27}{36}+\frac{1}{4}= what? \)

Answer 12

oops, i subtracted instead of adding. so 1?

Answer 13

yeah :)

Answer 14

ok, now im a little confused, isnt it (x+b/2)^2. i dont know where to go from here

Answer 15

ok so you have \(\huge x^2+x+\frac{1}{4}=1 \)
what you said is right, b=1, hence the next step is
\(\huge (x+\frac{1}{2})^2=1\) :)

Answer 16

so the answer is 1-(x+(1/2))^2

Answer 17

no...
i keep losing connection so bear with the reply timing :)

what you do is solve for x.... the next step is to find the square root of both sides of the equation to clear the square on the left side...

\(\huge x+\frac{1}{2}= \pm \sqrt{1}\)
\(\huge x= \pm \sqrt{1}-\frac{1}{2} \)
\(\huge x= \pm 1-\frac{1}{2} \)
solve for x now :)