49=x^2+x^2

Solution for 49=x^2+x^2 equation:

Simplifying
49 = x2 + x2

Combine like terms: x2 + x2 = 2x2
49 = 2x2

Solving
49 = 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
49 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
49 + -2x2 = 0

Add '-49' to each side of the equation.
49 + -49 + -2x2 = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -2x2 = 0 + -49
-2x2 = 0 + -49

Combine like terms: 0 + -49 = -49
-2x2 = -49

Divide each side by '-2'.
x2 = 24.5

Simplifying
x2 = 24.5

Take the square root of each side:
x = {-4.949747468, 4.949747468}