GATE | GATE-CS-2017 (Set 2) | Question 32

Consider a 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 = ______.

Note: This question appeared as Numerical Answer Type in GATE.
(A) 6
(B) 7
(C) 8
(D) 9


Answer: (C)

Explanation: x2 – 13x + 36 = 0
==> x2 – (b + 3)x + (3*b + 6) = 0 …..
{ expanding numbers in base b )

putting the values of x we get b = 8.

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