Question

Daca x/5=y/4 si x la puterea 2+ y la puterea 2=164, aflati x si y

Answer 1

4x=5y
x=5y/4
x²+y²=164
(5y/4)²+y²=164
25y²/16+y²=164
(25y²+16y²)/16=164
41y²=164·16
y²=2624/41=64
y=√64=8
y=8
x=5y/4=(5·8)/4=10
x=10

Answer 2

x/5 = y/4 --> x=5*y/4

x^2+y^2=164
(5*y/4)^2 +y^2=164

(25*y^2)/16 + y^2=164
 (25*y^2)/16 + (16*y^2)/16=164
41*y^2 = 164*16
y^2 = (164*16)/41
y^2 =64
y = 8
x= 40/4 =10