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GATE CS 2017 Value of base b

Consider the quadratic equation x2−13X+36=0 with coefficients in a base b. The solutions of this equation in the same base b are x=5 and x=6. Then b= ______.

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Practice Problem

Consider the quadratic equation x2−26X+46=0 with coefficients in a base b. The solutions of this equation in the same base b are x=5 and x=6. Then b= __.

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