Question 265331
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the squareroot of -12 + 2x = the squareroot of 3x+23
please provide step by step
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        The solution in the post by @mananth is fatally wrong.

        See my correct solution below.



<pre>
Our starting equation is

    {{{sqrt(2x-12)}}} = {{{sqrt(3x+23)}}}.


Take the square on both sides of the equation

    2x - 12  = 3x + 23

    -12 - 23 = 3x - 2x

       x    =    -35


But x = -35 makes the expression  2x-12  negative under the square root in the left side of the original equation.


So, we conclude that given equation has no real solution.
</pre>

Solved correctly.