Artificial intelligent assistant

Two numbers given in certain radix X are (55)X and (64)X. If we add this two numbers, the result is (130)X. What is the radix X? Two numbers given in certain radix X are (55)X and (64)X. If we add this two numbers, the result is (130)X. What is the radix X? hint: Use the polynomial representation to set an equation with x, the radix ans unknown. just need how to start

**Here is how to start:**

Solve the equation $\color{red}5x^1+\color{red}5x^0+\color{green}6x^1+\color{green}4x^0=\color{blue}1x^2+\color{blue}3x^1+\color{blue}0x^0$.

**Here is how to continue:**

Solve the equation $x^2-8x-9=0\implies(x+1)(x-9)=0\implies[x=-1]\vee[x=9]$.

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