Japan | A Nice Algebra Problem | Math Olympiad
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- Опубликовано: 8 сен 2024
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I Like your Videos
Sir, on what do you write these?
And also,
How can I develop such thinking so that I can solve the equations by manipulating them?
I know we require practice, but are there any more ways along with it?
On the quadratic formulae inst it +1 not -1
Ответ -1.
2x = u => x = u/2
u³ + 2u² - 1 = 0
u³ + 1 + 2u² - 2 = 0
(u + 1)(u² - u + 1) + 2(u + 1)(u - 1) = 0
(u + 1)(u² + u - 1) = 0
u + 1 = 0 => u = -1 => *x = -1/2*
u² + u - 1 = 0
u = (-1 ± √5)/2 => *x = (-1 ± √5)/4*
X=-1/2