Question

MEDAL!!!


What do I do when for a solution of a parabola I don't get a real number (like 1, 3) instead I get something like:

Answer 1

\(\huge \frac{2 \pm 2\sqrt{1} }{3}\)

Answer 2

\[\sqrt1=??\]

Answer 3

fine, we can replace this to be like 3. i am making this up

Answer 4

oh ok it is a hypothetical question

Answer 5

\[\frac{2 \pm 2\sqrt{1} }{3}\]

Answer 6

you get what you get
if the answer is \[\frac{2\pm\sqrt5}{2}\] then those are the two answers

Answer 7

most of the time you do not get a rational number

Answer 8

so if i don't get a rational number, then i will just have to leave it like that right?

Answer 9

yes

Answer 10

ok thank you.

Answer 11

you have a specific example?

Answer 12

another question.

Answer 13

kk

Answer 14

so if i have (hypothetical):
\[\frac{ 4 \pm 8\sqrt{2} }{ 4 }\]
then i can simplify it as:
\[\frac{ 1 \pm \sqrt{3} }{ 1 }\] or just \(1 \pm \sqrt{3}\)

Answer 15

not quite

Answer 16

oh sorry i forgot to put the 2 in front of the square root

Answer 17

\[\frac{ 4 \pm 8\sqrt{2} }{ 4 }=\frac{4}{4}\pm\frac{8\sqrt2}{4}\]

Answer 18

so \[1\pm2\sqrt2\] it means you used the quadratic formula when you should have completed the square

Answer 19

you have the original equation ?

Answer 20

\[1 \pm 2\sqrt{2}\]

no i just made a hypothetical question because i have a test on this topic (along with others) tmrw

Answer 21

oh ok

Answer 22

good luck with your exam

Answer 23

and but if i have:
\[\frac{ 2 \pm 6\sqrt{5} }{ 3 }\]
then i just leave it as it is?

Answer 24

yes

Answer 25

ok thank you so much!

Answer 26

i would

Answer 27

yw

Answer 28

......