When 45 is divided by x, the remainder is x-5. If x be a natural number, what are all the possible values of x?
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Answer:Let’s rewrite, and call x = 5y +3
I take it x^ means x square, i.e. x^2.
If so, we have: What is the remainder if we devide x^2 -5x + 2?
Now 5x is divided on 5, so it doesn’t contribute anything to the solution, so let’s leave it out. We are then left with
x^2 + 2 = (5y + 3)(5y + 3) + 2 = 25y^2 +30 y + 9 + 2
Again 25y^2 and 30y are divisible on 5, which leaves us
9 + 2 = 11. 11 divided on 5 gives a remainder of 1
The remainder when dividing x^2-5x+2 with 5, then is 1.
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I think that it's the only answer to solve this
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