Question 772448
<pre>
{{{sqrt(x^2-4^2)+sqrt(x^2-6^2)=9}}}

{{{sqrt(x^2-16)+sqrt(x^2-36)=9}}}

{{{sqrt(x^2-36)=9-sqrt(x^2-16)}}}

{{{(sqrt(x^2-36))^2=(9-sqrt(x^2-16))^2}}}

{{{x^2-36=81-18sqrt(x^2-16)+x^2-16}}}

{{{-101=-18sqrt(x^2-16)}}}

{{{101/18=sqrt(x^2-16)}}}

{{{(101/18)^2=(sqrt(x^2-16))^2}}}

{{{10201/324=x^2-16}}}

{{{10201/324+16=x^2}}}

{{{10201/324+16=x^2}}}

{{{10201/324+5184/324=x^2}}}

{{{15385/324=x^2}}}

{{{"" +- sqrt(15385/324)}}} = x

{{{"" +- sqrt(15385)/18}}} = x

Answers check with calculator using x = ±6.8909047229833738

Edwin</pre>