== ==if 3x - 2y =6 and xy = 6 find value of 9x² + 4y²
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Answer:
3x+2y=12
Squaring both sides, we get
(3x+2y) 2 =14y
⇒9x 2 +4y 2
+2×3x×2y=144
⇒9x 2 +4y 2
=144−12xy
⇒9x 2 +4y 2
=144−12×6 since xy=6
⇒9x 2 +4y 2
=144−72=72
∴9x
2 +4y 2 =72
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