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Greatest GCD of:

(11n  +  3)  and  (6n  +  1) is:

When n takes the values of: 1, 8, 15, 22, 29, 36........and so on. Or a(n) =7n  -  6.

Then the maximum GCD = 7

A number written in scientific notation is a number from 1-10 multiplied by a power of 10. These can also be decimals. For example, $8 x 10^2 = 800$. You can also use this for decimal conversion. For example, 8 x 10^-2 = 0.08. 

So, to answer your question. Lets convert 950 into scientific notation. First, we write out the first few non-zero digits and place a decimal after the first digit. This is 9.5. Now, we count the number of digits away from our beginning decimal. We get 2 digits, so this is 10^2. So 950 in scientific notation is 9.5 x 10^2. Hope that clears things up for you!

Thanks for your support Melody & Team

its 1.3 repeater seconds

I think it is possible that you have mistyped the question but what you HAVE asked is still quite doable.

Subtract the second from the first and you get

  \(6ab^2=6\\ 3ab^2=3 \)

So now I have  

\(a^3+3=679\qquad and \qquad a^3-3=673\\ a^3=676\\ and\\ 3*\sqrt[3]{676}*b^2= 3\\ \sqrt[3]{676}*b^2= 1\\ b=\pm \sqrt{1-\sqrt[3]{676}}\\ a-b= \sqrt[3]{676} \pm \sqrt{1-\sqrt[3]{676}}\\\)

You need to check that, I could easily have made a careless mistake.

NOW check your question, i really do not think you wrote it down properly.

Try these:

a=1010

b=1007

c=1009

a + c =1010  +  1009 = 2019  and a > c

a  -  b=1010  -  1007 = 3 - is a prime

c  -  b=1009  -  1007 =2 - is a prime

The largest b in this solution =1007

hmmm 1.33 seconds was wrong..

I got the same answer as EP.

How did u get

\((p, q_1, q_2, r, s) = (-\pi/2, -\pi/3, \pi/12, \pi/4, \pi/6)\)

The greatest value of b is 1992.

Angle C == 180 degrees - 27 degrees == 153 degrees.