Question

if 2x +3y=16and xy=10 find 4x²+ 9y²​

Answer 1

${\underline{\underline{\huge{\mathfrak{\green{Answer:-}}}}}}$

Hey Mate!!

2x + 3y = 16

→ (2x + 3y)² = 16²

→ (2x)² + (3y)² + 2 × 2x × 3y = 256

→ 4x² + 3y² + 12xy = 256

→ 4x² + 3y² + 12 × 10 = 256

→ 4x² + 3y² + 120 = 256

→ 4x² + 3y² = 256 - 120

→ ${\boxed{\boxed{\huge{\sf{\red{4x^{2} + 3y^{2} = 136}}}}}}$