2a^2+1=a^2+4

Solution for 2a^2+1=a^2+4 equation:

Simplifying
2a2 + 1 = a2 + 4

Reorder the terms:
1 + 2a2 = a2 + 4

Reorder the terms:
1 + 2a2 = 4 + a2

Solving
1 + 2a2 = 4 + a2

Solving for variable 'a'.

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

Add '-1a2' to each side of the equation.
1 + 2a2 + -1a2 = 4 + a2 + -1a2

Combine like terms: 2a2 + -1a2 = 1a2
1 + 1a2 = 4 + a2 + -1a2

Combine like terms: a2 + -1a2 = 0
1 + 1a2 = 4 + 0
1 + 1a2 = 4

Add '-1' to each side of the equation.
1 + -1 + 1a2 = 4 + -1

Combine like terms: 1 + -1 = 0
0 + 1a2 = 4 + -1
1a2 = 4 + -1

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

Divide each side by '1'.
a2 = 3

Simplifying
a2 = 3

Take the square root of each side:
a = {-1.732050808, 1.732050808}