SOLUTION: Find the product xy, where x and y are positive integers and {{{0=3x^4-x^3*y-9317}}}

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Question 1199929: Find the product xy, where x and y are positive integers and
Found 2 solutions by Yoshi16, MathTherapy:
Answer by Yoshi16(1) (Show Source):
You can put this solution on YOUR website!
The above equation can be re written as

then we can factor out an term

then we can prime factorize 9317, which gives us
which means that from our above factored equation, x can be either 1 or 11
if x = 1

since we get a negative value of y, x can only be 11

therefore the product of x and y is 286
cheers

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!

Find the product xy, where x and y are positive integers and ---- Prime factors of 9,317: 7(11³), or (11³)7 ------ Equating terms on left and right sides , since x and y will NOT be INTEGERS, and it's stated that x and y are POSITIVE INTEGERS. Therefore, and so, x = 11 (EXPONENTS are equal and so are their BASES). Also, So,