I need work please! The answer is (-4, -2) and (2,4) but idk how to do it.
Find the real solutions.
xy = 8
1/x-1/y=1/4
Smoke some weed and go listen to the playlist
xy=8 ; y = 8/x
1/x - 1/(8/x) =1/4
1/x - x/8 =1/4
1 - (1/8)x^2 = x/4
8 - x^2 = 2x
x^2 + 2x - 8 = 0
x^2 - 2x + 4x - 8 = 0
x(x - 2) + 4(x - 2) = 0
(x + 4)(x - 2) = 0
x = -4, 2;
y = 8/x
when x = -4
y = 8/-4
y = -2
(-4, -2)
when x=2
y = 8/2
y = 4
(2, 4)
~
Comments
Smoke some weed and go listen to the playlist
xy=8 ; y = 8/x
1/x - 1/(8/x) =1/4
1/x - x/8 =1/4
1 - (1/8)x^2 = x/4
8 - x^2 = 2x
x^2 + 2x - 8 = 0
x^2 - 2x + 4x - 8 = 0
x(x - 2) + 4(x - 2) = 0
(x + 4)(x - 2) = 0
x = -4, 2;
y = 8/x
when x = -4
y = 8/-4
y = -2
(-4, -2)
when x=2
y = 8/2
y = 4
(2, 4)
~