Question

If 3x + 2y = 12 and xy = 6, find the value of 9x²+ 4y².

Answer 1

Answer:

Given,

${\bf{\green{3x+2y=12}}}$

${\bf{\red{xy=6}}}$

${\bf{\orange{3x+2y=12}}}$

${\bf{\blue{S.O.B.S}}}$

${\bf{\red{(3x+2y)^2=12^2}}}$

${\bf{\green{9x^2+4y^2+2(3x)(2y)=144}}}$

${\bf{\pink{9x^2+4y^2+12xy=144}}}$

${\bf{\blue{9x^2+4y^2+12(6)=144}}}$${\bf{\red{(sincexy=6)}}}$

${\bf{\blue{9x^2+4y^2=144-72}}}$

${\bf{\pink{9x^2+4y^2=72}}}$

Answer 2

$\huge\red{Answer}$

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