solve the system for xandy.
3x-y2=0
x^2-y^2=4

Question

solve the system for xandy. 
3x-y2=0 
x^2-y^2=4

anonymous · Answer

so far i solved for y and got plus or minus an unreal solution for y...

zarkon · Answer

is the first equation supposed to be $$3x-y^2=0$$?

anonymous · Answer

on the y2 is it suppose to bee a exponent
??

anonymous · Answer

oh dang sorry its 3x-2y=0

zarkon · Answer

then there are no real solutions

anonymous · Answer

why?

zarkon · Answer

because they are both complex :)

anonymous · Answer

4 and -2 be the answer...???

anonymous · Answer

uhh ^^?

anonymous · Answer

so if i run into 1 complex solution, im guessing the system has no real solution?

zarkon · Answer

not always

anonymous · Answer

so i have to solve for both variables even if i run into a complex solution?

zarkon · Answer

it depends on the system

zarkon · Answer

this particular system...knowing one root is complex tells us that the other is also

anonymous · Answer

ok

anonymous · Answer

is it because the way its showed on the graph? you know the other solution will be the reflection of the x axis

zarkon · Answer

if you solved the first equation for x or y and plugged it into the second you will get a second degree polynomial...if the roots are complex they will come in complex congugate pairs.   

then, the first equation ... being linear ...if one variable is complex then so is the other

anonymous · Answer

ok, that makes sense. so in the future im guessing i should just solve for both variables to make sure right?

zarkon · Answer

in general...that is a good idea