if 2x+3y=10 and xy=5 find 4x^2+9y^2
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Answer:90
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Step-by-step explanation:
2x+3y=10
xy=5
4x²+9y² = ???
(2x+3y)² - 4x²+2xy+9y²
( using identity (a+b)²= a²+2ab+b² )
→ 100 = 4x² + 9y² + 2×5
→ 100-10 = 4x² + 9y²
→ 4x² + 9y² = 90
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