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Flauer [41]
3 years ago
14

Which expression is a perfect cube ? X^6 Y^24 M^28 S^64

Mathematics
2 answers:
ella [17]3 years ago
6 0

Answer:

Y^24

Step-by-step explanation:

got a hundo on the quiz

guapka [62]3 years ago
5 0

Answer: S^64

Step-by-step explanation:

S^4 - 4.4.4 = 64

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It's <span>Diophantine equation. 
First, we need to found gcd(6,(-2)):</span>
6=2*3
(-2)=(-1)*2

So, gcd(6,-2)=2
Now, the question is. Can we dived c=24, by gcd(6,-2) and in the end get integer?
Yes we can.
\frac{24}{2} =12
So, we can solve it.

Now is the formula:
{\displaystyle {\begin{cases}x=x_{0}+n{\frac {b}{\gcd(a,\;b)}}\\y=y_{0}-n{\frac {a}{\gcd(a,\;b)}}\end{cases}}\quad n\in \mathbb {Z} .}

Second, we need the first pair (x0,y0) 
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x=0
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Third, we gonna use that formula:
{\displaystyle {\begin{cases}x=-n}\\y=-3(4+n)}\end{case}\quad n\in \mathbb {Z} .}
Congratulations! We solve it.


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