9769 /www/nrich/html/content/id/9769/ 1 2013-01-04T16:58:11 <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0">The square of a positive number is twice as big as the cube of that number. What is the number?</mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0">Let the number be $x$. Then $x^2= 2x^3$, that is $x^2(1-2x)=0$.<br></br> So $x=0$ or $x=\frac{1}{2}$.<br></br> However, $x$ is positive, so the only solution is $x=\frac{1}{2}$.</mdoxml> 2 3 0 0 1 0 0 Weekly Problem 12 - 2013