Which combination of integers can be used to generate the Pythagorean triple 7,24,25

Question

misty1212 · Answer

HI!!

misty1212 · Answer

the question is a little unclear, but maybe it is this: all triples can be found by taking whole number $m,n$ and computing 
$$m^2-n^2, 2mn, m^2+n^2$$ is that what you have to find, $m$ and ?

elsa213 · Answer

Welcome to Openstudy! :D

misty1212 · Answer

@Elsa213 thanks dear, welcome to you as well!

elsa213 · Answer

Thank you cx

anonymous · Answer

its apex so the answers would be like A.x=4,y=3 B.X=1, y+3 C.x=3,y=2 D.x=2 y=2

misty1212 · Answer

what does "it is apex" mean?

anonymous · Answer

and thanks for the warm welcome
and its an online class

misty1212 · Answer

ok it looks like they used $x$ and $y$ whereas i used $m$ and $n$ but it is the same thing

anonymous · Answer

what would be the answer?

misty1212 · Answer

you have 
$$x^2-y^2=7$$ 
that is the same as 
$$(x-y)(x+y)=7$$
there is only one way to factor $7$ as $1\times 7$ so 
$$x-y=1\
x+y=7$$ and using that you can solve  for $x$ and $y$

anonymous · Answer

so i basically plug in and solve

misty1212 · Answer

you can solve that in your head: two numbers that add to 7 and are one apart

anonymous · Answer

basicaly A

misty1212 · Answer

basically A?

anonymous · Answer

the answer?

misty1212 · Answer

ooh i see A is $x=4,y=3$ yes, that is right