document.write( "Question 1029629: solve the quadratic equation by factorization
\n" ); document.write( "3x²-5x+2=0 ?
\n" ); document.write( "and can i be shown a checking method to show this is correct thank you \n" ); document.write( "
Algebra.Com's Answer #644585 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
3x^2 -5x +2 = 0
\n" ); document.write( ":
\n" ); document.write( "(3x-2) * (x-1) = 0
\n" ); document.write( "*******************************
\n" ); document.write( "solutions are x = 2/3 and x = 1
\n" ); document.write( "*******************************
\n" ); document.write( ":
\n" ); document.write( "to check the answers, we substitute in the given equation
\n" ); document.write( ":
\n" ); document.write( "3x^2 -5x +2 = 0
\n" ); document.write( ":
\n" ); document.write( "1) x = 2/3
\n" ); document.write( "3(2/3)^2 -5(2/3) +2 = 0
\n" ); document.write( "4/3 -10/3 +2 = 0
\n" ); document.write( "-2 +2 = 0
\n" ); document.write( "0 = 0
\n" ); document.write( ":
\n" ); document.write( "2) x = 1
\n" ); document.write( "3(1)^2 -5(1) + 2 = 0
\n" ); document.write( "3 -5 +2 = 0
\n" ); document.write( "5 - 5 = 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" );