Self Maths Puzzle

suppose we are given three relations.
a+b+c=X
ab+bc+ca=Y
abc=Z
X,Y,Z are known, how can we find a,b,c

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Self Other Question

Use all the nine numerals from 1 to 9 once and form four numbers (A, B, C, D) such that divisions A/B and C/D produce different but closest results. (ie. Absolute value of A/B-C/D should be minimum.)

Example: If the numbers were 12/789, 6/345, your answer should read 6,12,345,789

Give value of A,B,C,D Find the remainder when 34^413 is divided by 9