6=1+m^2

Solution for 6=1+m^2 equation:

Simplifying
6 = 1 + m2

Solving
6 = 1 + m2

Solving for variable 'm'.

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

Add '-1m2' to each side of the equation.
6 + -1m2 = 1 + m2 + -1m2

Combine like terms: m2 + -1m2 = 0
6 + -1m2 = 1 + 0
6 + -1m2 = 1

Add '-6' to each side of the equation.
6 + -6 + -1m2 = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -1m2 = 1 + -6
-1m2 = 1 + -6

Combine like terms: 1 + -6 = -5
-1m2 = -5

Divide each side by '-1'.
m2 = 5

Simplifying
m2 = 5

Take the square root of each side:
m = {-2.236067978, 2.236067978}