compute the value of 9 x 2 + 4 y2 if xy = 6 and 3x + 36 = k.
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Step-by-step explanation:
Consider the equation 3x + 2y = 12
Now, square both sides:
(3x + 2y)^2= 122
=> 9x^2+ 12xy + 4y^2= 144
=>9x^2+ 4y^2= 144 – 12xy
since, xy = 6
9x^2+ 4y^2= 144 – 72
Thus, the value of 9x^2+ 4y^2= 72
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