find the value of 4x2+9y2 if 2x+3y=12 and xy=6
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Given:
2x + 3y = 12
xy = 6
To Find:
4x² + 9y²
Solution:
2x + 3y = 12
(2x + 3y)² = 144
4x² + 9y² + 12xy = 144
4x² + 9y² = 144 - 12xy
4x² + 9y² = 144 - (12×6)
4x² + 9y² = 144 - 72
4x² + 9y² = 72
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