1.

If 3x + 2y =15 and xy = 8 find the value of 9xpower2+ 4ypower2​

Answer»

2y = 15 and xy = 8The VALUE of 9x² + 4y²(X + y)² = x² + y² +2xyNow,→ 3x + 2y = 15Squaring the both sides.→ (3x + 2y)² = 3x² + 2y² + 2 × 3x × 2y → (15)² = 9x² + 4y² + 12xy→ 225 = 9x² + 4y² + 12× 8 → 225 = 9x² + 4y² + 96→ 225 - 96 = 9x² + 4y²→ 129 = 9x² + 4y².Hence, The value of 9x² + 4y² is 129.



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