Question 81709
<pre><font size = 4 face = "lucida console">
{{{9x^2}}} = {{{14}}}

Divide both sides by {{{9}}}

{{{9x^2/9}}} = {{{14/9}}} 

Cancel the 9's on the left:

{{{x^2}}} = {{{14/9}}}

Take square roots of both sides:

{{{sqrt(x^2)}}} = ±{{{sqrt(14/9)}}}

{{{x}}} = ±{{{sqrt(14)/sqrt(9)}}}

{{{x}}} = ±{{{sqrt(14)/3}}}

There are two solutions

{{{x}}} = {{{sqrt(14)/3}}} and {{{x}}} = -{{{sqrt(14)/3}}}

Edwin</pre>