Question

30(x^2)y / 20x(y^2) is equal to​

Answer 1

Answer:

30(x^2)y / 20x(y^2) is equal to

Step-by-step explanation:

x2+xy=30⟹x(x+y)=30 ,

and y2+xy=20⟹y(y+x)=20

⟹y(x+y)=20

⟹x(x+y)+y(x+y)

=30+20

⟹(x+y)(x+y)=50

⟹(x+y)2=50

⟹x+y=±50−−√

=±25×2−−−−−√

=±(25−−√×2–√)

=±52–√

Use the positive square root since

x,y<0⟹x2,y2,xy>0.

x2+xy=30⟹x(x+y)=30

⟹x×(52–√)=30

⟹x=3052√

⟹x=62√.

y2+xy=20

⟹y(y+x)=y(x+y)=20

⟹y×(52–√)=20

⟹y=2052√

⟹y=42√.

xy=62√×42√=242√×2√=242=12.