What is the radix of the numbers if the solutions of x² − 10x + 26 = 0 are x = 4 and x = 7?
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Correct answer: D. 11
Explanation
In base r, '10' = r and '26' = 2r + 6. Sum of roots 4 + 7 = 11 = r, and the product 28 = 2r + 6 also gives r = 11.
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