Answer:x=100
Step-by-step explanation:
Since you know that g(x)=3x-11 all you have to do is substitute that into g(x)=289. So you get 3x-11=289. To get x you have to add 11 on both sides.
3x-11=289
+11 +11
----------------
3x = 300
Divide 3 on both sides to get x by itself
3x =300
---- -------
3 3
x=100
Answer:
n = 59
Step-by-step explanation:
There's definitely a better way, i just did math randomly but here goes:
First i squared both sides. which gets you:

Cleaning this up gives you:

Now move everything to the other side so we can square this equation again

Divide both sides by -2

square again

subtract n^2 from both sides, add 6n, and add 50

Put this back into the equation and you get a correct answer!
sqrt(59 + 5) = sqrt(64) = 8
sqrt(59-10) = sqrt(49) = 7
8 - 7 = 1
Those lines mean absolute value, which is how many spaces it is away from 0. the absolute value of 6 is 6 and the absolute value of -6 is 6