Question

if 3x + 2y =12 and xy =6 find the value of 9x squared + 4y squared

Answer 1

Hope it's helpful for you.

Answer 2

Given,

3x+2y=12 , xy=6

From the first equation we get

3x+2y=12

⇒(3x+2y)²=144        {squaring both sides }

⇒9x²+12xy+4y²=144

⇒9x²+4y²+12*6=144

⇒9x²+4y²=144-72

⇒9x²+4y²=72

∴9x²+4y²=72

Hope this was helpful,

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