One - "square root" is usually understood to refer to the positive square root.
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Normally you should have two. The exception is when you are working with surds, in which case, conventionally the only solution is the positive or principal root.
if a dependent system of equation is solved, how many solutions will there be?
An equation can be determine to have no solution or infinitely many solutions by using the square rule.
The answer is indeterminate. There are many solutions for this.
It comes from completing the square of a general quadratic. Many people believe Brahmagupta first solved this in 628 AD.
x2-10 = 0 x2 = 10 x = the square root of 10