If 314\(_10\) - 256\(_7\) = 340\(_x\), find x.<...
If 314\(_10\) - 256\(_7\) = 340\(_x\), find x.
7
8
9
10
Correct answer is A
31410 - 2567 = 340x,
Convert 2567 and 340x to base 10, such that:
314 - 139 = 3x2 + 4x
=> 3x2 + 4x - 175 = 0 (quadratic)
Factorising, (x - 7) (3x + 25) = 0,
either x = 7 or x = -25/3 ( but x cannot be negative)
Therefore, x = 7.
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