Respuestas

2013-02-13T18:08:06+01:00

x-y=64

x^2/y^2=25/9

sacamos raiz     x/y=5/3

 

(x-y)/y=(5-3)/3

64/y=2/3  despejamos y

 

y=64*3/2=96

x=64+96=160

2013-02-13T18:35:49+01:00

x - y = 64;   x = 64 -y

x2 / y2 = 25 / 9; 9x2 = 25 y2

9(64 - y)2 = 25 y2

9(4096 -128y +y2) = 25y2

36864 -1152y + 9y2 = 25y2

16y2 + 1152y - 36864 = 0

y2 + 72y -2304 = 0

Resolviendo la ecuación x = 24  y = 40;    x = -96  y = -160