49x^2+16y^2+160y=384 please help slove
Complete the Square? This is why you studied completing the square in algebra.
49x^2+16y^2+160y=384
49x^2+16(y^2+10y+____)=384 + 16*____
10/2 = 5
5^2 = 25
49x^2+16(y^2+10y+25) = 384 + 16*25 = 16*24 + 16*25 = 16*49
49x^2+16(y+5)^2 = 16*49
$\displaystyle
\frac{x^{2}}{16}+\frac{(y+5)^{2}}{49}\;=\;1
$
Okay, now you do one.