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3x + 2y = 12 and xy = 6, them the value of 9x2 + 4y2 is?

Correct Answer: 72

Explanation:

Given equation are
3x + 2y = 12 ..............(i)
xy = 6 .........................(ii)
On squaring Eq. (i) on both sides, we will get
(3x + 2y)2 = (12)2
⇒ 9x2 + 4y2 + 12xy = 144
put the value of xy
⇒ 9x2+ 4x2 = 144 - 72 = 72
⇒ 9x2+ 4x2 = 72


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