Solve the following equation for y. I think this one is going to take some one a while.
(y*x)/(y+x) +x=y
2006-07-22 12:42:50 · 5 answers · asked by DoctaB01 2 in Science & Mathematics ➔ Engineering
[1] ... y*x/(y+x) + x = y
Multiply by (y+x) to get rid of fractions:
[2] ... y*x + x*(y+x) = y*(y+x)
Expand:
[3] ... yx + xy + x^2 = y^2 + yx
Cancel the yx left and right. Collect powers of y
[4] ... y^2 - xy - x^2 = 0
Complete the square:
[5] ... (y - x/2)^2 - 5/4 x^2 = 0
[6] ... y - x/2 = +/- sqrt(5/4 x^2)
[7] ... y = (1 +/- sqrt 5) x / 2
Well, that was 40 seconds :)
2006-07-22 12:49:34 · answer #1 · answered by dutch_prof 4 · 5⤊ 0⤋
y = x sqrt 5 / 2
lol
2006-07-22 17:08:44 · answer #2 · answered by Chie 5 · 0⤊ 0⤋
Why didn't you put the good question up instead of this one?
2006-07-22 14:59:37 · answer #3 · answered by Anonymous · 0⤊ 0⤋
ok
y=(y*x)/(y+x)+x
is that the answer
u sovled ur question
2006-07-22 12:48:57 · answer #4 · answered by Christy R 3 · 0⤊ 0⤋
y = x^2/(1-2x)
crown me.
2006-07-22 12:47:51 · answer #5 · answered by electroberry1 3 · 0⤊ 0⤋