document.write( "Question 1073900: Solve by completing the square: \r
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Algebra.Com's Answer #688668 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! 2x^2 +5x +3 = 0 \n" ); document.write( ": \n" ); document.write( "divide both sides of = by 2 \n" ); document.write( ": \n" ); document.write( "x^2 +(5x/2) +(3/2) = 0 \n" ); document.write( ": \n" ); document.write( "subtract (3/2) from both sides of = \n" ); document.write( ": \n" ); document.write( "x^2 +(5x/2) = (-3/2) \n" ); document.write( ": \n" ); document.write( "divide (5/2) by 2 and square it, (25/16), add (25/16) to both sides of = \n" ); document.write( ": \n" ); document.write( "x^2 +(5x/2) +(25/16) = (-3/2) + (25/16) = (1/16) \n" ); document.write( ": \n" ); document.write( "(x +(5/4))^2 = (1/16) \n" ); document.write( ": \n" ); document.write( "take square root of both sides of = \n" ); document.write( ": \n" ); document.write( "x +(5/4) = + or - (1/4) \n" ); document.write( ": \n" ); document.write( "We have two answers for x \n" ); document.write( ": \n" ); document.write( "************************* \n" ); document.write( "x = +(1/4) -(5/4) = -1 \n" ); document.write( ": \n" ); document.write( "x = -(1/4) -(5/4) = -1.5 \n" ); document.write( ": \n" ); document.write( "check the answers with \n" ); document.write( ": \n" ); document.write( "2x^2 +5x +3 = 0 \n" ); document.write( ": \n" ); document.write( "1) x = -1 \n" ); document.write( "2(-1)^2 +5(-1) +3 = 0 \n" ); document.write( "2 -5 +3 = 0 \n" ); document.write( "0 = 0 \n" ); document.write( ": \n" ); document.write( "2) x = -1.5 \n" ); document.write( "2(-1.5)^2 +5(-1.5) +3 = 0 \n" ); document.write( "4.5 -7.5 +3 = 0 \n" ); document.write( "0 = 0 \n" ); document.write( ": \n" ); document.write( "our answers check \n" ); document.write( "************************* \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |