What will be the value of x and y according to the given image?
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Given - 2x+3y=8 and xy=4
To find -The value of 4x²+9y²
Solution - (2x+3y)=8 [Given]
Squaring both sides,
=> (2x+3y)²=8²
=>(2x)²+(3y)²+2×2x×3y=64
=>4x²+9y²+12xy=64
=>4x²+9y²+12×4=64
=> 4x²+9y²+48=64
=>4x²+9y²=64-48
=> 4x²+9y²=16
Therefore the value of 4x²+9y² is 16
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