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1. |
The sum of a number and its square is 63/4, find the numbers. |
Answer» Let the number be ‘a’ ⇒ a + a2 = 63/4 ⇒ 4a2 + 4a – 63 = 0 ⇒ 4a2 + 18a – 14a – 63 = 0 ⇒ 2a(2a + 9) – 7(2a + 9) = 0 ⇒ (2a – 7)(2a + 9) = 0 ⇒ a = 7/2 or – 9/2 |
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