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allsm [11]
3 years ago
13

2/5 + (5^2-10) / 5^2

Mathematics
1 answer:
Vadim26 [7]3 years ago
4 0

\bf \cfrac{2}{5}+\cfrac{5^2-10}{5^2}\implies \cfrac{2}{5}+\cfrac{~~\begin{matrix} 5^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} 5^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}-\cfrac{10}{5^2}\implies \cfrac{2}{5}+1-\cfrac{10}{25}\implies \cfrac{2}{5}+1-\cfrac{2}{5}\implies 1

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Cloud [144]
<span>14 = GCF of M and 210
M = possible values

GCF = Greatest common denominator
Now, let’s start decomposing
=> 210 | 2
=> 105 | 2
=>  35 | 5
=> 7 | 7
=> 1

Thus, 2 x 3 x 5 x 7 = 210

Now let’s find the factors of 14
=> 14 | 2
=> 7 | 7
=> 1

Thus, 2 x 7 = 14

Notice that’s there’s no 14 in 210 shown factors, but the only GCF found is 7.
Thus, the value of M that we’re looking for is infinite. All numbers that has the GCF of 7 are applicable.</span>



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