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Theory

Square root of an equation

Taking the square root of both sides in an equation is way of solving some quadratic equations. This method gives two solutions, a negative and a positive. For example, the equation

x^{2} = 16

has the solutions

x = - 4

and

x = 4

since

(- 4)^{2} = 16 and 4^{2} = 16 .

However, when solving an equation this way, don't forget to add the negative solution by adding

\pm

to the solution. The solutions can be written as

x = \pm 4 .

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