5th Power

Level pending

a + b + c = 1 a+b+c=1

a 2 + b 2 + c 2 = 2 a^2+b^2+c^2=2

a 3 + b 3 + c 3 = 3 a^3+b^3+c^3=3

a 5 + b 5 + c 5 = ? a^5+b^5+c^5=?


The answer is 6.

Fahim Shahriar Shakkhor by Fahim Shahriar Shakkhor , 24, Bangladesh

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1 solution

Kishore Patel
Jan 17, 2014

It's just simple Equation Solving Problem. = ( a^2 + b^2 + c^2 ) * (a^3 + b^3 + c^3) = a^5 + b^5 + c^5 + a^3(2 - a^2) + b^3(2 - b^2) + c^3(2 - c^2) now on cancelling power(5) = 2( a^3 + b^3 + c^3) = 2 * 3 = 6

:: sorry man, I tried with Latex

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