document.write( "Question 150473: ______
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document.write( "√7x + 29 = x + 3\r
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Algebra.Com's Answer #110444 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( ": \n" ); document.write( "Square both sides, this gets rid of the radical on the left \n" ); document.write( "7x + 29 = (x+3)^2 \n" ); document.write( ": \n" ); document.write( "FOIL (x+3)(x+3) \n" ); document.write( "7x + 29 = x^2 + 6x + 9 \n" ); document.write( ": \n" ); document.write( "0 = x^2 + 6x - 7x + 9 - 29 \n" ); document.write( ": \n" ); document.write( "A quadratic equation: \n" ); document.write( "x^2 - x - 20 = 0 \n" ); document.write( ": \n" ); document.write( "Factors to: \n" ); document.write( "(x-5)(x+4) = 0 \n" ); document.write( ": \n" ); document.write( "The positive solution \n" ); document.write( "x = 5 \n" ); document.write( ": \n" ); document.write( "Check in the original equation \n" ); document.write( " \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "The negative solution \n" ); document.write( "x = -4 \n" ); document.write( "Check in original equation \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "+1 does not = -1 \n" ); document.write( ": \n" ); document.write( "Only x=5 is a solution \n" ); document.write( " |