1+3+5+7+9+11+13+17=n*n

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Solution for 1+3+5+7+9+11+13+17=n*n equation: 


Simplifying
1 + 3 + 5 + 7 + 9 + 11 + 13 + 17 = n * n

Combine like terms: 1 + 3 = 4
4 + 5 + 7 + 9 + 11 + 13 + 17 = n * n

Combine like terms: 4 + 5 = 9
9 + 7 + 9 + 11 + 13 + 17 = n * n

Combine like terms: 9 + 7 = 16
16 + 9 + 11 + 13 + 17 = n * n

Combine like terms: 16 + 9 = 25
25 + 11 + 13 + 17 = n * n

Combine like terms: 25 + 11 = 36
36 + 13 + 17 = n * n

Combine like terms: 36 + 13 = 49
49 + 17 = n * n

Combine like terms: 49 + 17 = 66
66 = n * n

Multiply n * n
66 = n2

Solving
66 = n2

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-1n2' to each side of the equation.
66 + -1n2 = n2 + -1n2

Combine like terms: n2 + -1n2 = 0
66 + -1n2 = 0

Add '-66' to each side of the equation.
66 + -66 + -1n2 = 0 + -66

Combine like terms: 66 + -66 = 0
0 + -1n2 = 0 + -66
-1n2 = 0 + -66

Combine like terms: 0 + -66 = -66
-1n2 = -66

Divide each side by '-1'.
n2 = 66

Simplifying
n2 = 66

Take the square root of each side:
n = {-8.124038405, 8.124038405}

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