Question 1083222
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<pre>
1.  Make a sketch.


2.  Use the <U>Theorem</U>:

        Tangent segments to a circle released from a point outside the circle are congruent.


3.  So AB = BC which gives an equation -x + 6 = 3x + 1.

    4x = 5  ---->  x = {{{5/4}}} units.
</pre>

See the lesson 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Circles/Tangent-segments-to-a-circle-from-a-point-outside-the-circle.lesson>Tangent segments to a circle from a point outside the circle</A>  

in this site.


Also, &nbsp;you have this free of charge online textbook on Geometry

&nbsp;&nbsp;&nbsp;&nbsp;<A HREF=https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson>GEOMETRY - YOUR ONLINE TEXTBOOK</A> 

in this site.


The referred lesson is the part if this textbook under the topic 
"<U>Properties of circles, inscribed angles, chords, secants and tangents</U>".