document.write( "Question 28000: Using the quadratic equation x2-3x+2=0 perform the following tasks:\r
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document.write( "solve by factoring.\r
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document.write( "solve by completing the square. Since it is x square, should i devide both sides by x?\r
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document.write( "solve by using the quadratic equasion. \r
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document.write( "I don't necesarily want it answered, I just need to know how to do these equations. \n" );
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Algebra.Com's Answer #15276 by sdmmadam@yahoo.com(530)![]() ![]() ![]() You can put this solution on YOUR website! Using the quadratic equation x2-3x+2=0 perform the following tasks: \n" ); document.write( "solve by factoring. \n" ); document.write( "solve by completing the square. Since it is x square, should i devide both sides by x? \n" ); document.write( "solve by using the quadratic equasion. \r \n" ); document.write( "\n" ); document.write( "I don't necesarily want it answered, I just need to know how to do these equations.\r \n" ); document.write( "\n" ); document.write( "completing the square method \n" ); document.write( "x2-3x+2=0 \n" ); document.write( "[x^2-2X(3/2)X(x)]+2=0 \n" ); document.write( "Notice that the first two terms have been brought under the structure a^2 -2ab. So you need b^2 to complete the square and here b^2-(3/2)^2 = 9/4 \n" ); document.write( "Therefore \n" ); document.write( "[x^2-2X(3/2)X(x)+(9/4-9/4)]+2=0 \n" ); document.write( "[x^2-2X(3/2)X(x)+(9/4]+(-9/4+2)=0 \n" ); document.write( "(x-3/2)^2 = 9/4-2 = 1/4 \n" ); document.write( "Taking the sqroot \n" ); document.write( "(x-3/2)= +1/2 or -1/2 \n" ); document.write( "(x-3/2)= +1/2 gives x = 1/2+3/2 = 2 \n" ); document.write( "(x-3/2)= -1/2 gives x = -1/2+3/2 = 1 \n" ); document.write( "Answer: x = 2 and x=1\r \n" ); document.write( "\n" ); document.write( "solve by using the quadratic equasion \n" ); document.write( "x2-3x+2=0 \n" ); document.write( "x2+[(-2x)+(-x)]+2=0 \n" ); document.write( "[splitting the middle term into two parts \n" ); document.write( "whose multiplication is the product of the square term and the constant term. \n" ); document.write( "-3x = (-2x) + (-x) so that (-2x)X(-x) = +(2x^2) = (x^2)X(2)] \n" ); document.write( "x2-2x-x+2=0 (you may straight away write this without writing the previous. the previous step is for your self study) \n" ); document.write( "(x2-2x)-x+2=0 \n" ); document.write( "x(x-2)-(x-2)=0 (why pull out -1 ? just to get (x-2) as a common factor.) \n" ); document.write( "xp-p=0 where p = (x-2) \n" ); document.write( "p(x-1) = 0 \n" ); document.write( "(x-2)(x-1) = 0 \n" ); document.write( "(x-2) = 0 gives x = 2 and (x-1) = 0 gives x = 1 \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |