Posted by ashley on .
systems of nonlinear equations
i need to help i have tried this problem but i cannot find the right answer i need to determine the real solutions for this:
x^2+4xy=10
4x^2xy=6

algebra 
bobpursley,
multipy the bottom equation by 4
x^2+4xy=10
16x^24xy=24
add the equations
17x^2=34
solve for x, you get +sqrt2
put each of those values into the first equation, and solve for y.
I will do the sqrt2=x for you.
2y4sqrt2=10
4ysqrt2=8
y=2/sqrt2= sqrt2
now do the solution of y for x=+sqrt2