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प्रश्न
Solve the following equations for the unknown: (6p + 9)2 + (8p - 7)2 = (10p + 3)2 - 71
उत्तर
(6p + 9)2 + (8p - 7)2 = (10p + 3)2 - 71
[36p2 + 81 + 2(6p)(9)] + [64p2 + 49 - 2(8p)(7)] = 100p2 + 9 + 2(10p)(3) - 71
⇒ 100p2 + 130 + 2 x 54p - 2 x 54p - 2 x 56p = 100p2 + 9 - 71 + 60p
Collecting like terms,
⇒ 130 + 71 - 9 = 60p + 4p
⇒ 192 = 64p
⇒ p = 3.
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