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Nice Math Olympiad Algebra Problem | How to solve? | (X,Y) = ? 

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28 сен 2024

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Комментарии : 9   
@Rohmat-oo3pw
@Rohmat-oo3pw 10 дней назад
X²-y2-y+x=0. X²-y ²+x²-y=0. (X+y)(X-y)+(X-y)=0. (X+y)+1=0. -y=x+1. X²-y=73. X²+x+1=73. X²+x-72=0. X²+9x-8x-72=0 (x+9)(x-8)=0 x=-9 and x=8. X+y+1=0. Y=8 and y=-9 X
@MasterTMathsClass
@MasterTMathsClass 8 дней назад
Nice
@Gnowop3
@Gnowop3 3 дня назад
Think of it as two parabola (of the same shape ) intersecting each other (one rotated at 90 degrees). Four points of intersections, hence four solutions.
@dsl77354
@dsl77354 8 дней назад
X=8 y=-9
@HeikoBoekstiegel
@HeikoBoekstiegel 9 дней назад
There are two more solutions (x,y), because you do not consider the case x = y. (2:21) Hence solve also x² - x = 73.
@MasterTMathsClass
@MasterTMathsClass 8 дней назад
👍
@madurappankalyanaraman8015
@madurappankalyanaraman8015 9 дней назад
x,= 8 y= -9 8²-(-9) =64+9=73 (-9)² -8 ,81-8=73
@MasterTMathsClass
@MasterTMathsClass 8 дней назад
Nice
@CharlesChen-el4ot
@CharlesChen-el4ot 10 дней назад
x^2-x=y2-y (x-y)*(x+y-1)=0 x=y or x+y = 1 x^2 - x =73 x = 1/2(1+/- (1+292)^1/2
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