x^2+x^2=102

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Solution for x^2+x^2=102 equation: 


Simplifying
x2 + x2 = 102

Combine like terms: x2 + x2 = 2x2
2x2 = 102

Solving
2x2 = 102

Solving for variable 'x'.

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

Divide each side by '2'.
x2 = 51

Simplifying
x2 = 51

Take the square root of each side:
x = {-7.141428429, 7.141428429}

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