An example would be a negative number found from using the quadratic formula. That can possibly result from an equation that cannot be set into factored form due to the lack of common factors.
Imaginary numbers can be considered nonreal. 2i = 2 times radical -1 The radical looks like the pulse monitor you see in hospitals, fyi.
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Algebra exists to find solutions
Often times doctors and nurses will use algebra to calculate doses or titrations of solutions.
a set is defined as a collection of objects. In algebra, it is usually a collection of numbers and often a collection of solutions.
S5 is indecomposable
A quadratic equation can have either two real solutions or no real solutions.