Number of Solutions

Algebra Level 5

Find the number of solutions of the system of equations:

x + y + z = 3 x+y+z=3

x 3 + y 3 + z 3 = 15 x^3 +y^3 +z^3 =15

x 5 + y 5 + z 5 = 83 x^5 +y^5 +z^5 =83 .


The answer is 6.

Ameya Salankar by Ameya Salankar , 23, India

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1 solution

Just 3! And the answer is 6

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