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| 1. |
Given (224) = The value of the radix '' is : |
| Answer» (224)r = = (13)r x (13)r ∴ 2r2 + 2r + 4 = (r + 3) (r + 3) = r2 + 6r + 9 ∴ r2 - 4r - 5 = 0 ∴ (r - 5) (r + 1) = 0 r = - 1 or r = 5 Negative base is not possible. Therefore base of the equation is 5. | |