8k^2+1=65

Solution for 8k^2+1=65 equation:

Simplifying
8k2 + 1 = 65

Reorder the terms:
1 + 8k2 = 65

Solving
1 + 8k2 = 65

Solving for variable 'k'.

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

Add '-1' to each side of the equation.
1 + -1 + 8k2 = 65 + -1

Combine like terms: 1 + -1 = 0
0 + 8k2 = 65 + -1
8k2 = 65 + -1

Combine like terms: 65 + -1 = 64
8k2 = 64

Divide each side by '8'.
k2 = 8

Simplifying
k2 = 8

Take the square root of each side:
k = {-2.828427125, 2.828427125}