Question 1039928
.
solve the radical equation and check all proposed solutions

sqr symbol over 28x+28 = x+8
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


<pre>
{{{sqrt(28x+28)}}} = {{{x+8}}}

Square both sides
{{{28x+28}}} = {{{(x+8)^2}}},

{{{28x+28}}} = {{{x^2+16x+64}}}.

Form a quadratic equation on the right

0 = x^2 + 16x - 28x + 64 - 28,

0 = x^2 - 12x + 36,

{{{(x-6)^2}}} = {{{0}}}.

The solution is x = 6 of multiplicity 2.
</pre>

<TABLE> 
  <TR>
  <TD> 

{{{graph( 330, 330, -20.5, 20.5, -3.5, 20.5,
          sqrt(28x + 28), x + 8
)}}}


<B>Figure</B>. Plots y = {{{sqrt(28x+28)}}}, y = x + 8.

  </TD>
  </TR>
</TABLE>