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यदि 2x + 3y = 8 व xy = 2, तब सिद्ध कीजिए कि 4x^2 + 9y^2 = 40

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यदि 2x + 3y = 8 व xy = 2, तब सिद्ध कीजिए कि 4x2 + 9y2 = 40

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2x + 3y = 8

वर्ग करने पर, 4x2 + 9y2 + 2(2x)(3y) = 64

⇒ 4x2 + 9y2 = 64 – 12(xy) 

= 64 – 12 × 2 = 40

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