2x+3y=9 , xy=3 , 4x2+9y2
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Given That:
2x+3y=9
xy=3
To Find:
4x²+9y²
Solution:
4x²+9y² can be written as
(2x)²+(3y)²
now apply a²+b² formula
a²+b² = (a+b) ²-2ab
= (2x+3y)²-2×2x×3y
= (9)²-12xy :. [ 2x+3y=9 ]
= 81-12xy
= 81-12×3 :. [ xy=3 ]
= 81-36
= 45
Answer :
45
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