if 2x+3y=4 and xy=-1 then find 4x²+9y²
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Given
2x+3y=8 and xy=2,
formula,
(a+b)2=a2+b2+2ab
∴(2x+3y)2=4x2+9y2+2(2x)(3y)
(2x+3y)2=4x2+9y2+12xy
82=4x2+9y2+12(2)
∴4x2+9y2=64−24=40
Answered by
2
Answer:
Given
2x+3y=8 and xy=2,
formula,
(a+b)2=a2+b2+2ab
∴(2x+3y)2=4x2+9y2+2(2x)(3y)
(2x+3y)2=4x2+9y2+12xy
82=4x2+9y2+12(2)
∴4x2+9y2=64−24=40
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