Question

Given (3x+2y)=14 and xy =8 find the value of 9x²+ 4y²

Answer 1

Step-by-step explanation:

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Answer 2

Given :-

• 3x + 2y = 14
• xy = 8

To find :-

• 9x² + 4y²

Solution :-

→ 3x + 2y = 14

• squaring both side

→ (3x + 2y)² = (14)²

• Apply identity
• (a + b)² = a² + b² + 2ab

→ (3x)² + (2y)² + 2 × 3x × 2y = 196

→ 9x² + 4y² + 12xy = 196

• Put the value of xy

→ 9x² + 4y² + 12 × 8 = 196

→ 9x² + 4y² + 96 = 196

→ 9x² + 4y² = 196 - 96

→ 9x² + 4y² = 100

Hence,

• The value of 9x² + 4y² is 100