A Very Cool Radical Expression

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Опубликовано:

12 окт 2024

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Комментарии : 13

@DanDart День назад

"square root of 29 is greater than five therefore it's greater than one" This is the "Caesar died more than 40 years ago" of maths

@StaR-uw3dc 2 дня назад

Nice. In the first method, it will be easier to divide the numerator and denominator of the second component by 14: (15+√29)/2+14(1-√29)/28 = (15+√29)/2+(1-√29)/2 = (15+1)/2 =8 In the second method we can also divide the given expression by : √x (x-√x)/√x=7/√x √x-1=7/√x substitute √x=x-7 x-7-1=7/√x x-7/√x=8

@crispygolden День назад

Nah, it is like this: x-√x=7 Multiplying both sides by (x+√x), x²-x=7x+7√x Dividing all terms by x x-1=7+(7√x)/x Take the term (7√x)/x Multiply it by √x/√x Therefore we get 7x/x√x which when cancelled out equals 7/√x So our equation is x-1=7+7/√x Therefore x-(7/√x)=7+1=8 Much simpler, 9th grade level.