document.write( "Question 122123: Use the quadratic formula to solve.\r
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document.write( "2x squared - 5x = 3 \n" );
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Algebra.Com's Answer #89746 by madhan_math(34)![]() ![]() You can put this solution on YOUR website! Given equation is 2x^2-5x=3 \n" ); document.write( " 2x^2-5x-3=0 \n" ); document.write( " Now the coefficient of x^2 and constant multiplying, we get \n" ); document.write( " -6. \n" ); document.write( " Then, we find two numbers that numbers will be added we get -5(the coefficient of x)and multiply that numbers will become -6. \n" ); document.write( " Therefore, that numbers are -6, 1 \n" ); document.write( " Now the given equation becomes 2x^2-6x+x-3=0. \n" ); document.write( " (We take common number from first two variables.) \n" ); document.write( " i.e., 2x(x-3) + 1(x-3)=0 \n" ); document.write( " i.e., (2x+1)=0,(x-3)=0 are the factors of the given eqn. \n" ); document.write( " Hence x=-1/2 and x=3. \n" ); document.write( " (OR) \n" ); document.write( " The problem also solve by using the formula\r \n" ); document.write( "\n" ); document.write( "http://www.algebra.com/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29&x=0003\r \n" ); document.write( "\n" ); document.write( " In this equation a=2, b=-5, c=-3 and substitute these values in that formulae we will get x=-1/2 and x=3. \n" ); document.write( " \n" ); document.write( " |