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GATE CSE 2017 Set 2 | Question: 24

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Consider the quadratic equation $x^2-13x+36=0$ 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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Base is 8.

Solve the equation by expanding the coefficients in decimal form.
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