100a^2-3=1

Solution for 100a^2-3=1 equation:

Simplifying
100a2 + -3 = 1

Reorder the terms:
-3 + 100a2 = 1

Solving
-3 + 100a2 = 1

Solving for variable 'a'.

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

Add '3' to each side of the equation.
-3 + 3 + 100a2 = 1 + 3

Combine like terms: -3 + 3 = 0
0 + 100a2 = 1 + 3
100a2 = 1 + 3

Combine like terms: 1 + 3 = 4
100a2 = 4

Divide each side by '100'.
a2 = 0.04

Simplifying
a2 = 0.04

Take the square root of each side:
a = {-0.2, 0.2}