Square root property

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The square root property is a method for solving quadratic equations.

Method

First we must convert the quadratic to either the form $ax^2=b$ or $(yx+z)^2=w$.

First format

$x^2=18$ take the square root of both sides $x=\pm\sqrt{18}$

so the roots are $\sqrt{18}$ and $-\sqrt{18}$.

Second format

$(3x+4)^2=5$ take the square root of both sides $3x+4=\pm\sqrt{5}$ isolate $x$ $x=\frac{\pm\sqrt{5}-4}{3}$

and those are the roots.