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Math Olympiad | A Nice Algebra Problem | VIJAY Maths
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@RealQinnMalloryu4 Ай бұрын
(B ➖ 3a+3) (b ➖ 3a+1)
@guyhoghton399 Ай бұрын
_a² - b² = 9_ _ab = 3_ Let _x = a + b, y = a - b_ ∴ _xy = 9_ _x² - y² = 4ab = 12_ _x²_ is a root of _(t - x²)(t + y²) = 0_ ⇒ _t² - (x² - y²)t - (xy)² = 0_ ⇒ _t² - 12t - 81 = 0_ ⇒ _x² = t = 6 ± 3√13_ ⇒ _x² = 6 + 3√13 ( x ∊ _*_R_*_ )_ ⇒ *_x = ±√(6 + 3√13)_*
@ezzatabdo5027 Ай бұрын
Thanks Professor, wonderful and nice
@vijaymaths5483 Ай бұрын
You are welcome!
Higher Mathematics
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