7k^2-1=496

Solution for 7k^2-1=496 equation:

Simplifying
7k2 + -1 = 496

Reorder the terms:
-1 + 7k2 = 496

Solving
-1 + 7k2 = 496

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 + 7k2 = 496 + 1

Combine like terms: -1 + 1 = 0
0 + 7k2 = 496 + 1
7k2 = 496 + 1

Combine like terms: 496 + 1 = 497
7k2 = 497

Divide each side by '7'.
k2 = 71

Simplifying
k2 = 71

Take the square root of each side:
k = {-8.426149773, 8.426149773}