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If x = 1 and y = 6 is a solution of the equation 8x - ay + a2=0, find the values of a. |
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Answer» Given, x = 1 and y = 6 is a solution of the equation 8x - ay + a2 = 0 ⇒ 8 × 1 – a × 6 + a2 = 0 ⇒ a2 – 6a + 8 = 0 ⇒ a2 – 4a – 2a + 8 = 0 ⇒ a(a – 4) – 2(a – 4) = 0 ⇒ (a – 2)(a – 4) = 0 ⇒ a = 2, 4 |
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