Re: Can you help me and Solve the equation ???



math_ali wrote:

A=D^2
and A must be positive integer

can we say that :
it has a positive integer number or a square root of positive integer number ????

If A is a positive integer, then the equation is true iff D is either
the positive square root or the negative square root of A and thus
in this case D is not a transcendental but an algebraic number.

Iff A is a positive integer and a square, then the positive square-root
of A is a positive integer, the negative square-root of A is a negative
integer. Thus in this case D is either a positive integer or a negative
integer.

If A is a positive integer and not a square, then the positive square-root
of A is a positive irrational algebraic real number, the negative
square-root of A is a negative irrational algebraic real number. Thus in
this case D is either a positive irrational algebraic real number or a
negative irrational algebraic real number.

Iff = if and only if.

Ulrich

.



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