2k^2+1=163

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Solution for 2k^2+1=163 equation: 


Simplifying
2k2 + 1 = 163

Reorder the terms:
1 + 2k2 = 163

Solving
1 + 2k2 = 163

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 + 2k2 = 163 + -1

Combine like terms: 1 + -1 = 0
0 + 2k2 = 163 + -1
2k2 = 163 + -1

Combine like terms: 163 + -1 = 162
2k2 = 162

Divide each side by '2'.
k2 = 81

Simplifying
k2 = 81

Take the square root of each side:
k = {-9, 9}

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