Question

2x + 6y = 60 and xy = 1, find x^2 + 9y^2​

Answer 1

Step-by-step explanation:

2x+6y=60

2(x+3y)=60

x+3y=60/2

x+3y=30

squring both side

(x+3y)²=(30)²

(X) ²+(3y)²+2×x×3y=900

x²+9y²+6xy=900

putting xy=1

x²+9y²+6×1=900

x²+9y²+6=900

x²+9y²=900-6

x²+9y²=894

Answer 2

Answer:

894

Step-by-step explanation:

( 2x + 6y ) = 60

( 2x + 6y )² = 60² (squaring both sides)

4x²+36y²+24xy = 3600

4x²+36y²+24 =3600

4x²+36y² = 3576

x²+9y² = 894