Question 194535: Solve the nonlinear system of eqautions.
4x^2-2y^2=2
-x^2+y^2=2
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! 1) 4x^2 -2y^2 = 2
2) -x^2 +y^2 = 2,,,,,y^2 = X^2 +2
subst into (1)
4x^2 -2(x^2 +2) = 2
4x^2 -2x^2 -4 = 2
2x^2 = 6
x^2 = 3
x= sqrt3,,,,,ANSWER
subst in (2)
y^2 = (sqrt3)^2 +2 = 3 +2 = 5
y = sqrt 5,,,,,ANSWER
,
checking
1) 4*sqrt 3^2 -2*sqrt5^2 =2,,,,4*3 -2*5 = 2,,,2=2,,,ok
2) -(sqrt3)^2 +(sqrt5)^2 = 2,,,,-3+5 = 2,,2=2,,,,ok
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