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Results tagged with algebra
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user 56225
A mathematical puzzle about the manipulation and solution of equations. Use with [mathematics]
3
votes
2
answers
141
views
Can you have the harmonic, geometric, arithmetic and quadratic mean of 2 numbers all being i... [closed]
I created this problem looking at the hm-gm-am-qm inequality (hm = $\frac{2xy}{x + y}$, gm = $\sqrt{xy}$, am = $\frac{x + y}{2}$, qm = $\sqrt{\frac{x^2 + y^2}{2}}$ and hm $\le$ gm $\le$ am $\le$ qm). …
- 91
2
votes
2
answers
407
views
Can the sum, difference and product of 2 numbers be perfect squares? [closed]
If we take 2 numbers $x$ and $y$ such that $x>y>0$ and , can $x + y$, $x - y$ and $xy$ all be perfect squares?
- 91