document.write( "Question 463375: solve the equation by completing the square. the equations has real number solutions.
\n" ); document.write( "3x^2-2x-56=0 \n" ); document.write( "
Algebra.Com's Answer #319256 by lwsshak3(11628)\"\" \"About 
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solve the equation by completing the square. the equations has real number solutions.
\n" ); document.write( "3x^2-2x-56=0
\n" ); document.write( "...
\n" ); document.write( "3x^2-2x-56=0
\n" ); document.write( "completing the square
\n" ); document.write( "3(x^2-2x/3+1/9)-56-1/3=0
\n" ); document.write( "3(x-1/3)^2=56+1/3=168/3+1/3=169/3
\n" ); document.write( "divide by 3
\n" ); document.write( "(x-1/3)^2=169/9
\n" ); document.write( "take sqrt of both sides
\n" ); document.write( "x-1/3=±√169/3
\n" ); document.write( "x=1/3±√169/3
\n" ); document.write( "x=(1+√169)/3=(1+13)/3=14/3
\n" ); document.write( "or
\n" ); document.write( "x=(1-√169)/3=(1-13)/3=-12/3=-4
\n" ); document.write( "Check:
\n" ); document.write( "for x=-4
\n" ); document.write( "3x^2-2x-56=0
\n" ); document.write( "3(4^2)-2(-4)-56=48+8-56=0
\n" ); document.write( "..
\n" ); document.write( "for x=14/3
\n" ); document.write( "3(14/3)^-2(14/3)-56=65.33-9.33-56=0 \n" ); document.write( "
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