document.write( "Question 200741: verify that x=-2 is solution of equation 3(2x+3) - x*x = 2x + 7 \n" ); document.write( "
Algebra.Com's Answer #150969 by RAY100(1637)\"\" \"About 
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Normal method to verify is to substitute answer into eqn
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\n" ); document.write( "3(2x+3) -x*x = 2x +7
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\n" ); document.write( "3 [ 2(-2) +3] -(-2)*(-2) = 2(-2) +7
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\n" ); document.write( "3[ -1] -4 = -4+7
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\n" ); document.write( "-3-4=3
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\n" ); document.write( "-7 = 3,,,,not true, not verified
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\n" ); document.write( "lets just solve eqn
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\n" ); document.write( "3(2x+3) -x*x =2x +7
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\n" ); document.write( "6x +9 -x^2 = 2x+7
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\n" ); document.write( "0 = x^2 -4x -2
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\n" ); document.write( "use quadratic eqn to solve,,,,,a=1,,,,b=-4,,,,,c=-2
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\n" ); document.write( "x = [ -(-4) +/- sqrt{ (-4)^2 -4 (1) (-2)} ] / 2(1)
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\n" ); document.write( "x=[ 4 +/- sq rt { 16 +8} ] /2
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\n" ); document.write( "x= [ 4 +/- sqrt 24]/2
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\n" ); document.write( "x= [ 4 +/- 4.9] /2
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\n" ); document.write( "x= +4.4, -.45
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\n" ); document.write( "to verify these
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\n" ); document.write( "x^2 -4x -2 =0
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\n" ); document.write( "(4.4)^2 -4(4.4) -2 =0,,,,,ok
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\n" ); document.write( "(.45)^2 -4(.45) -2 =0,,,,,ok
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