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## Main Question or Discussion Point

Why is it said that an equation of nth degree must possess n roots ?

if x^1 = y, x has only 1 value

x^2 = y, x has 2 values (the 2 values may be equal)

x^3 = y, x has 3 values

going on like this, we have, x^0 = 1 , implies x has no solutions. but x has infinite number of solutions.

if x^1 = y, x has only 1 value

x^2 = y, x has 2 values (the 2 values may be equal)

x^3 = y, x has 3 values

going on like this, we have, x^0 = 1 , implies x has no solutions. but x has infinite number of solutions.