Question #138608

Unathi thinks of a Natural number, doubles it, adds 1 and squares the result. If he ends up with 81,what is the number he thought of?

Expert's answer

(x2+1)2=81(x\cdot2+1)^2=81 ;

x2+1=81=±9=9x\cdot2+1=\sqrt{81}=|\pm9|=9 (not (-9), because x is a natural number);

x2=91=8x\cdot2=9-1=8 ;

x=82=4x=\frac{8}{2}=4.

Answer: 4 is the number he thought of.


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