An algebra problem by Dipto Biswas

Algebra Level 4

If a a and b b are zeroes of x 2 − 3 x + 1 = 0 x^{2} - 3x + 1 = 0 , find the value of a 2015 + b 2015 + a 2014 + b 2014 a 2016 + b 2016 \dfrac{a^{2015} + b^{2015} + a^{2014} + b^{2014}}{a^{2016} + b^{2016}} .


The answer is 3.

Dipto Biswas by Dipto Biswas , 20, India

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1 solution

Harish Yadav
Jun 13, 2015

The equation whose roots are a,b is wrong it must be x^2-3x+1=0

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Thanks. I have updated the problem accordignly.

In future, you can report problems directly, which would notify the problem creator to fix it.

Calvin Lin Staff - 4 years, 7 months ago

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