An algebra problem by Anísio de Souza Neto

Algebra Level 2

What positive integer that coupled with its triple equals twice its square?

10 2 5 1

Anísio de Souza Neto by Anísio de Souza Neto , 57, Brazil

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2 solutions

Rohit Udaiwal
Aug 29, 2015

The question says.."What positive integer that coupled with its triple equals twice its square?" so lets make an equation for it, x + 3 x = 2 x 2 ⇒ 4 x = 2 x 2 ⇒ x = 2 ; 0 x+3x=2x^2\Rightarrow{4x=2x^2\Rightarrow{x=2;0}} As the question asks for positive integers only the answer becomes 2 \boxed{2} ......... I hope it helped as the question is in portuguese. ⌣ ¨ \ddot\smile

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Nice solution.

But note that, x = 0 x=0 is also a solution to this equation. Before canceling the x x from both sides it's better to clarify that x ≠ 0 x\neq0 .

MD Omur Faruque - 5 years, 9 months ago

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Did it..thanks for notifying

Rohit Udaiwal - 5 years, 9 months ago
Ashish Menon
May 31, 2016

x + 3 x = 2 x 2 4 x = 2 x 2 x = 2 x + 3x = 2x^2\\ 4x = 2x^2\\ x = \color{#69047E}{\boxed{2}}

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