document.write( "Question 1207404: Find the real solutions, if any, of the given equation. \r
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\n" ); document.write( "\n" ); document.write( "Let me see.\r
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\n" ); document.write( "\n" ); document.write( "I can use the quadratic formula. In the formula, a = 3/4, b = -1/4 and c = -1/2.\r
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\n" ); document.write( "\n" ); document.write( "Yes? \n" ); document.write( "
Algebra.Com's Answer #845450 by MathTherapy(10551)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Find the real solutions, if any, of the given equation. \r\n" );
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document.write( "(3/4)x^2 - (1/4)x - (1/2) = 0\r\n" );
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document.write( "Let me see.\r\n" );
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document.write( "I can use the quadratic formula. In the formula, a = 3/4, b = -1/4 and c = -1/2.\r\n" );
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document.write( "Yes? \r\n" );
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document.write( "You could but it'll be a bit tedious, with all those fractions. It's much easier to get rid of the fractions by \r\n" );
document.write( "multiplying the equation by its LCD, 4. This'll give you: \r\n" );
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document.write( "Now, you can use the quadratic equation formula, but this quadratic (as is obvious, MAYBE), can be factored by\r\n" );
document.write( "using the \"ac\" method, which requires 2 factors that have a PRODUCT of - 6 (a * c = + 3 * - 2), and a SUM of - 1\r\n" );
document.write( "(b, or the coefficient on \"x\"). These 2 FACTORS are - 3 and + 2. \r\n" );
document.write( "We then get the following: 3x2 - x - 2 = 0 \r\n" );
document.write( "                     3x2 - 3x + 2x - 2 = 0 ----- Replacing - x with - 3x + 2x\r\n" );
document.write( "                     3x2 - 3x + 2x - 2 = 0 ----- PAIRing binomials\r\n" );
document.write( "                  3x(x - 1) + 2(x - 1) = 0\r\n" );
document.write( "                       (3x + 2)(x - 1) = 0 ----- FACTORED form\r\n" );
document.write( "              3x + 2 = 0       | x - 1 = 0\r\n" );
document.write( "                  3x = - 2     |     x = 0 + 1\r\n" );
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