Okay. Here is the problem.
2(x^2+ y^2) = 5xy
Please try to solve it.
Thank you.
Hello, necromancer745!
The instructions are missing.
We can't solve an equation with two variables in it.
I'll assume that we want the ratio: y/x
We have: .2x² + 2y² .= .5xy . → . 2y² - 5xy + 2x² .= .02(x² + y²) .= .5xy
Divide by x²: .2(y/x)² - 5(y/x) + 2 .= .0
Let u = y/x
and we have: .2u² - 5u + 2 .= .0
. . which factors: .(u - 2)(2u - 1) .= .0
. . and has roots: .u .= .2, ½
Back-substitute and we have: .y/x = 2 .and .y/x = ½