document.write( "Question 234338: I am supposed to solve:\r
\n" ); document.write( "\n" ); document.write( "sqrt with the radicand 5x +21, then = x+3. So the question is:\r
\n" ); document.write( "\n" ); document.write( "sqrt 5x+21=x+3
\n" ); document.write( "

Algebra.Com's Answer #172789 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
I am supposed to solve:
\n" ); document.write( "sqrt with the radicand 5x +21, then = x+3. So the question is:
\n" ); document.write( "sqrt(5x+21) = x+3
\n" ); document.write( "---
\n" ); document.write( "Square both sides to get:
\n" ); document.write( "5x+21 = x^2 + 6x + 9
\n" ); document.write( "---
\n" ); document.write( "Then x^2 + x - 12 = 0
\n" ); document.write( "(x+4)(x-3) = 0
\n" ); document.write( "x = -4 or x = 3
\n" ); document.write( "-----------------------
\n" ); document.write( "Since you squared, you have to check for extraneous answers.
\n" ); document.write( "------------------------------
\n" ); document.write( "Checking x = -4 you get:
\n" ); document.write( "sqrt(-20+21) = -4+3
\n" ); document.write( "sqrt(1) = -1
\n" ); document.write( "1 = -1
\n" ); document.write( "False ; so x = -4 is extraneous
\n" ); document.write( "-------------------------------------
\n" ); document.write( "Checking x = 3 you get:
\n" ); document.write( "sqrt(15+21) = 3+3
\n" ); document.write( "sqrt(36) = 6
\n" ); document.write( "6 = 6
\n" ); document.write( "-----------------------------
\n" ); document.write( "Final Answer: x = 3
\n" ); document.write( "===============================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
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