It 4x + 5y= 23 and xy=6 find the value of 16x² + 25y².
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Answered by
2
Squaring the equation, 16x^2 + 25y^2 + 40xy = 529
40xy = 240
Hence, 16x^2 + 25y^2 = 289..... A
Answered by
7
Step-by-step explanation:
(4x + 5y)² = 16x² + 25y² + 2×(4x5y) [(a+b)² = a² + b² + 2ab]
Substituting the given values we get,
23² = 16x² + 25y² +2×4×5×6
529 = 16x² + 25y² +240
529 - 240 = 16x² + 25y²
289 = 16x² + 25y²
16x² + 25y² = 289
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