document.write( "Question 448614: Please help me solve this equation: \"sqrt%285x%2B39%29=x%2B3\" \n" ); document.write( "
Algebra.Com's Answer #308707 by ankor@dixie-net.com(22740)\"\" \"About 
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Please help me solve this equation: \"sqrt%285x%2B39%29=x%2B3\"
\n" ); document.write( "Square both sides
\n" ); document.write( " \"%28sqrt%285x%2B39%29%29%5E2=%28x%2B3%29%5E2\"
\n" ); document.write( ":
\n" ); document.write( "FOIL (x+3)(x+3) on the right
\n" ); document.write( "5x + 39 = x^2 + 6x + 9
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\n" ); document.write( "Combine like terms on the right
\n" ); document.write( "0 = x^2 + 6x - 5x + 9 - 39
\n" ); document.write( ":
\n" ); document.write( "A quadratic equation
\n" ); document.write( "x^2 + x - 30 = 0
\n" ); document.write( ":
\n" ); document.write( "Factors to
\n" ); document.write( "(x+6)(x-5) = 0
\n" ); document.write( ":
\n" ); document.write( "Two solutions
\n" ); document.write( "x = -6
\n" ); document.write( "x = +5
\n" ); document.write( ":
\n" ); document.write( "Check both solution in the original problem
\n" ); document.write( "\"sqrt%285%28-6%29%2B39%29=-6%2B3\"
\n" ); document.write( ":
\n" ); document.write( "\"sqrt%28-30%2B39%29=+-3\"
\n" ); document.write( ":
\n" ); document.write( "\"sqrt%289%29+=+-3\"
\n" ); document.write( "3 does not = -3, x=-6 is not a solution
\n" ); document.write( ":
\n" ); document.write( "try x=5
\n" ); document.write( "\"sqrt%2825%2B39%29=5%2B3\"
\n" ); document.write( "\"sqrt%2864%29+=+8\": x=5 is a valid solutions
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