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Zinaida [17]
3 years ago
7

How do I factor 25n^2 - 16?

Mathematics
1 answer:
wel3 years ago
8 0

Answer:

(5n + 4)(5n - 4)

Step-by-step explanation:

This is the difference of perfect squares.  It follows a pattern of

(ax + b)(ax - b) where a is the square root of 25 and b is the square root of 16.  The square root of 25 is 5, the square root of 16 is 4, so our factored quadratic is

(5n + 4)(5n - 4)

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2 years ago
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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.
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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.


8 0
3 years ago
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Calculate the simple interest on a loan of $9000 at an interest rate of 8% for 6 years? PLEASE HELP MEEE​
andre [41]

Answer:

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3 years ago
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