SOLUTION: My question involves a system of equations: x^2-y^2=4 y^2=3x now, i have gotten pretty far in the problem but i'm not sure how many sets of ordered pairs for (x,y) i should co

Algebra ->  Matrices-and-determiminant -> SOLUTION: My question involves a system of equations: x^2-y^2=4 y^2=3x now, i have gotten pretty far in the problem but i'm not sure how many sets of ordered pairs for (x,y) i should co      Log On


   



Question 378901: My question involves a system of equations:
x^2-y^2=4
y^2=3x
now, i have gotten pretty far in the problem but i'm not sure how many sets of ordered pairs for (x,y) i should come up with. I know x=-1,4 and y= 2 square root 3
help would be greatly appreciated.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi,
solution(s) for following system
x^2-y^2=4
y^2=3x
x^2 - 3x - 4 = 0
Yes! on the substitution resulting in x = -1 or x = 4 and y^2 = 12 Or y = 2%2Asqrt%283%29
(x = -1 is an extraneous solution as then Y^2 = -3 and y would then be an imaginary number.
Pt(4,2%2Asqrt%283%29) is the solution for this system of equations