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If 2x + 3y = 8 …

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If 2x + 3y = 8 and xy = 2, then find the value of 4x^2 + 9y^2.

Posted by Sheetal Choudhary 4 years, 5 months ago

CBSE > Class 08 > Mathematics

2 answers

Preeti Dabral 4 years, 5 months ago

Given ,
2x+3y=8 & xy=2.
So using identity (a+b)²=a²+b²+2ab
(2x+3y)²=(2x)²+(3y)²+2(2x)(3y)
(8)²=4x²+9y²+2*2*2*3
64=4x²+9y²+24
64-24=4x²+9y²
40=4x²+9y²

0Thank You

Sheetal Choudhary 4 years, 5 months ago

1Thank You

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