SOLUTION: (X-1)^2(y+1)^2=4

Algebra ->  Test -> SOLUTION: (X-1)^2(y+1)^2=4      Log On


   

Question 672273: (X-1)^2(y+1)^2=4
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-1%29%5E2%28y%2B1%29%5E2=4

sqrt%28%28x-1%29%5E2%29%2Asqrt%28%28y%2B1%29%5E2%29=sqrt%284%29

%28x-1%29%28y%2B1%29=2 and -%28x-1%29%28y%2B1%29=-2%29%29
xy%2Bx-1y-1=2
xy%2Bx-y-1-2=0
xy-y%2Bx-3=0
y%28x-1%29=-x%2B3
y=-%28x%2B3%29%2F%28x-1%29
y=%283-x%29%2F%28x-1%29......and y=-%283-x%29%2F%28x-1%29


integer solutions:
%28x-1%29%3C%3E0...=>...if x-1=0, then x=1
for x=0, y=-3
for x=-1, y=-2
for x=3, y=0