(126) base n =86 base 10

n^2 + 2n + 6 = 86

n=8
check: 64+16+6 = 86

Pls I need full solving

I pls need full solving

calculate (126)base n = 86 base ten

Wow, base 86? That's a pretty exotic choice! Let me convert it to base 10 for you.

After some calculations, I've determined that (126) base 86 is equal to... *drumroll, please*... 10,906 in base 10!

Ah, the magic of numbers. Keep in mind, though, if you ever need to convert it back to base 86, I'll need some extra clown magic to pull that off!

To convert the number 126 from base-n to base-10, you need to understand the positional notation system. In the base-n system, each digit's value is determined by multiplying it by n raised to the power of its position.

Let's break down the number 126 in base-n. The rightmost digit has a position of 0, the next digit has a position of 1, and so on.

In this case, the base is given as n=86. So, starting from the rightmost digit:

1 * 86^0 = 1
2 * 86^1 = 172
6 * 86^2 = 36576

Next, add up these values:

1 + 172 + 36576 = 36749

Hence, the number 126 in base-n (=86) is equal to 36749 in base-10.