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Mathematics 28 Online
OpenStudy (jessicawade):

Pythagorean triple help? will medal

OpenStudy (jessicawade):

\[(x^2+y^2)^2=(x^2-y^2)^2+(2xy)^2\]

OpenStudy (jessicawade):

use this to figure out the triples

OpenStudy (jessicawade):

x=8 y=1

OpenStudy (jessicawade):

hint #1 \[c^2=a^2+b^2\]

OpenStudy (jessicawade):

@jim_thompson5910

OpenStudy (jdoe0001):

?

OpenStudy (jdoe0001):

you can always just post a quick screenshot of the material, use the [Attach File] blue button

OpenStudy (dumbcow):

not sure what you need ... i posted a link to huge list of examples of pythagorean triples

OpenStudy (jessicawade):

Use the Polynomial Identity below to help you create a list of 10 Pythagorean Triples: Hint #1: Hint #2: pick 2 positive integers x and y, where x > y

OpenStudy (jessicawade):

ok

OpenStudy (jessicawade):

OpenStudy (jessicawade):

its page 3 of 6

OpenStudy (jessicawade):

i chose x=8 and y=1

OpenStudy (dumbcow):

oh i see, yeah ok you can plug in x and y into that equation you posted to get a triple as well

OpenStudy (jessicawade):

@jdoe0001

OpenStudy (jessicawade):

ok

OpenStudy (jessicawade):

for x=7 y=3 my triples are (40,42,58)

OpenStudy (dumbcow):

correct

OpenStudy (jessicawade):

ok but then i got stuck when i picked x=8 and y=1 lol

OpenStudy (dumbcow):

8^2 + 1^2 = 65 8^2 - 1^2 = 63 2(8)(1) = 16

OpenStudy (jessicawade):

ohhhhh lol

OpenStudy (jessicawade):

so then if x=9 and y=1 then it would be (18,80,82)?

OpenStudy (dumbcow):

yes

OpenStudy (jessicawade):

._. maybe i should be named dumbcow lol

OpenStudy (dumbcow):

haha :)

OpenStudy (jessicawade):

ok and lastly if you open the file again the last page is the hardest. i need help with the far right problems

OpenStudy (dumbcow):

this isnt that hard, notice how they just replace the number with "y" so using the formula on the right, plug back in the number for "y"

OpenStudy (jessicawade):

wait what? lol, ohh so where its like this \[(x+2)^2=(x+y)^2+x^2+2xy+y^2\]

OpenStudy (jessicawade):

then plug in 2 where y is?

OpenStudy (dumbcow):

yeah ----> x^2 +4x +4

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