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Quadratic Equation
The basic algebraic properties of real numbers a, b and c are:
Property 
Description 
Closure 
a + b and ab are real numbers 
Commutative 
a + b = b + a, ab = ba 
Associative 
(a+b) + c = a + (b+c), (ab)c = a(bc) 
Distributive 
(a+b)c = ac+bc 
Identity 
a+0 = 0+a = a 
Inverse 
a + (a) = 0, a(1/a) = 1 
Cancellation 
If a+x=a+y, then x=y 
Zerofactor 
a0 = 0a = 0 
Negation 
(a) = a, (a)b= a(b) = (ab), (a)(b) = ab 
