(a*a)+(b*b)=31

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Solution for (a*a)+(b*b)=31 equation: 


Simplifying
(a * a) + (b * b) = 31

Multiply a * a
(a2) + (b * b) = 31
a2 + (b * b) = 31

Multiply b * b
a2 + (b2) = 31
a2 + b2 = 31

Solving
a2 + b2 = 31

Solving for variable 'a'.

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

Add '-1b2' to each side of the equation.
a2 + b2 + -1b2 = 31 + -1b2

Combine like terms: b2 + -1b2 = 0
a2 + 0 = 31 + -1b2
a2 = 31 + -1b2

Simplifying
a2 = 31 + -1b2

Reorder the terms:
-31 + a2 + b2 = 31 + -1b2 + -31 + b2

Reorder the terms:
-31 + a2 + b2 = 31 + -31 + -1b2 + b2

Combine like terms: 31 + -31 = 0
-31 + a2 + b2 = 0 + -1b2 + b2
-31 + a2 + b2 = -1b2 + b2

Combine like terms: -1b2 + b2 = 0
-31 + a2 + b2 = 0

The solution to this equation could not be determined.

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