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A very interesting math problem 👍
(a + b) ^3=a^3 +b^3+3ab( a +b) =2√5 +3√5 =5√5 =√125 =(√5) ^3 . As such, a + b=√5
ab =[(a + b) ^3 - (a^3 + b^3) ]/3( a+b) [5√5 - 2√5]/3√5 =3√5/3√5= 1 ( a - b) ^2 = (a + b) ^2 - 4 ab a - b = + - (√5) ^2 - 4.1= + -1 a - b = 1 or - 1, recall a+b=√5 a = (√5+1)/2 or(√5 - 1) /2 b= (√5 - 1) /2 or(√5 +1) /2
(a-b)^2=5-4=1=>a=(1+5^1/2)/2and b=5^1/2 -1)/2
Parantu sir mai a+b milne ke baad woh a-b nikala phir udhar se a ka toh ek sahi value agya par b ka nahi aa raha hai method galat hai kya mera?
A very interesting math problem 👍
(a + b) ^3=a^3 +b^3+3ab( a +b) =2√5 +3√5 =5√5 =√125 =(√5) ^3 . As such, a + b=√5
ab =[(a + b) ^3 - (a^3 + b^3) ]/3( a+b)
[5√5 - 2√5]/3√5 =3√5/3√5= 1
( a - b) ^2 = (a + b) ^2 - 4 ab
a - b = + - (√5) ^2 - 4.1= + -1
a - b = 1 or - 1, recall a+b=√5
a = (√5+1)/2 or(√5 - 1) /2
b= (√5 - 1) /2 or(√5 +1) /2
(a-b)^2=5-4=1=>a=(1+5^1/2)/2and b=5^1/2 -1)/2
Parantu sir mai a+b milne ke baad woh a-b nikala phir udhar se a ka toh ek sahi value agya par b ka nahi aa raha hai method galat hai kya mera?