SOLUTION: a number is written 52 base x.four times the number is written as 301 base x.what is x?

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Question 1140534: a number is written 52 base x.four times the number is written as 301 base x.what is x?
Answer by ikleyn(52835)   (Show Source): You can put this solution on YOUR website!
.

4*(5x+2) = 3x^2 + 1


3x^2 - 20x - 7 = 0


 =  =  = .


Only positive root makes sense  x =  =  = 7.


ANSWER.  The base is 7.


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