What have you tried? Have you learned to solve equations yet?
So the problem is to solve .
First do the arithmetic on the right: to 6 decimal places. That means the equation is . Divide both sides by 0.134516: .
Subtract 1 from both sides. which has no real number soltutions. if you are allowed complex numbers, the solution is plus or minus times i.
I worked this problem twice and did not come close to your answer for x.
You say that x = 2.13.
If x = 2.13, then after evaluation, we should get the same answer on both sides of the equation.
Let x = 2.13
1.6199 = 1.6242 [(1 + x^2)/12)] divided by 1.0062
1.6199 = 1.6242 [(1 + (2.13)^2)/12)] divided by 1.0062
1.6199 = 1.6242 [(1 + 4.5369)/12)] divided by 1.0062
1.6199 = 1.6242 [(5.5369)/12)] divided by 1.0062
As I continued to simplify, I did not get 1.6199 on both sides of the equation. So, the answer for x that you suggested (2.13) is not correct.
Find a calculator and continue simplifying where I ended my computation. I'm sure you will agree.
Mistake?
First it should be 1.6911 instead of 1.611.
Secondly,
Correct me if I am wrong.
http://www.wolframalpha.com/input/?i=1.6199+%3D+1.6242*%28%281+%2B+x^2%29%2F%2812*1. 0062%29%29+find+x