document.write( "Question 286530: Solve the equation x+3=the square root of 7x+29 and check for extraneous roots
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Algebra.Com's Answer #207917 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Solve the equation x+3=the square root of 7x+29 and check for extraneous roots
\n" ); document.write( "3x + 3 = $\"sqrt%287x%2B29%29\"$
\n" ); document.write( "Square both sides
\n" ); document.write( "(3x + 3)^2 = 7x + 29
\n" ); document.write( "FOIL the left
\n" ); document.write( "9x^2 + 18x + 9 = 7x + 29
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\n" ); document.write( "9x^2 + 18x - 7x + 9 - 29 = 0
\n" ); document.write( ":
\n" ); document.write( "9x^2 + 11x - 20 = 0
\n" ); document.write( "Factor
\n" ); document.write( "(9x + 20)(x - 1) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "9x = -20
\n" ); document.write( "x = $\"%28-20%29%2F9\"$
\n" ); document.write( "x = -2.222
\n" ); document.write( "and
\n" ); document.write( "x = +1
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\n" ); document.write( "Check both solutions in the original equation
\n" ); document.write( "x = -2.222 is extraneous
\n" ); document.write( "x = 1 is a solution
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