Question

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

Answer 1

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$(3x + 2y {)}^{2} = {12}^{2} \\ \\ = 9 {x}^{2} + 4 {y}^{2} + 12xy = 144 \\ \\ = 9 {x}^{2} + 4 {y}^{2} + (12 \times 6) = 144 \\ \\ = 9 {x}^{2} + 4 {y}^{2} + 72 = 144 \\ \\ = 9 {x}^{2} + 4 {y}^{2} = 144 - 72 \\ \\ = 72$

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Answer 2

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