algebra
posted by ann on .
could you please check my answer and show me correct way . thanks for your help
solve the equation if pssible
36n2 +5 = 8
note:: 6n2 is abolute value
6n2 is positive
36n2 + 5 = 8
6n2 = 6
6n  2 = 6
6n  2 +2 = 6 + 2 divide by 6
n = 8/6
6n2 negative
36n2+ 5 = 8
6n2+ 2 = 8
6n2 = 10
6n2 +2 = 10 + 2
6n = 8 divide by 6
n = 8/6

36n2 +5 = 8
case I: absolute value is positive. thus,
3(6n2) + 5 = 8
3(6n2) = 8  5
3(6n2) = 3
6n  2 = 1
6n = 1
n = 1/6
case II: absolute value is negative. thus,
3[(6n2)] + 5 = 8
3(6n2) + 5 = 8
3(6n2) = 3
6n  2 = 1
6n = 3
n = 1/2
NOTE: these are not yet the answers. we must check if they satisfy the original equation by substituting each:
n = 1/6:
36n2 + 5 = 8
36*1/6  2 + 5 = 8
312 + 5 = 8
31 + 5 = 8
3(1) + 5 = 8
3 + 5 = 8
2 = 8 (this cannot be, thus n = 1/6 is not a solution)
n = 1/2:
36n2 + 5 = 8
36*1/2  2 + 5 = 8
33  2 + 5 = 8
31 + 5 = 8
3 + 5 = 8
2 = 8 (this cannot be, thus n = 1/6 is not a solution)
Therefore, no solution exists.
If you have questions, don't hesitate to ask. :)
Hope this helps~ :) 
thank you very much Jai for taking the time to help me ann