document.write( "Question 57155: 1. If x = 3 and x = -5, then form a quadratic equation. \r
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document.write( "2. What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation. \r
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document.write( "3. Create a real-life situation that fits into the equation (x + 3)(x - 4) = 0 and express the situation as the same equation. \n" );
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Algebra.Com's Answer #39180 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! If x = 3 and x = -5, then form a quadratic equation. \n" ); document.write( "FOIL (x-3)(x+5) = x^2 + 2x -15 = 0 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "2. What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. \n" ); document.write( ": \n" ); document.write( "The equation has two complex number solutions. The Discriminant is part of the quadratic formula, so you end up with the square root of a neg number. \n" ); document.write( ": \n" ); document.write( "Also provide an example of such a quadratic equation and find the solution of the equation. \n" ); document.write( ": \n" ); document.write( "2x^2 - x + 5 = 0 \n" ); document.write( "Using the quadratic formula your solutions are: \n" ); document.write( "x = \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "3. Create a real-life situation that fits into the equation (x + 3)(x - 4) = 0 and express the situation as the same equation: \n" ); document.write( ": \n" ); document.write( "The area of a rectangle is 12 sq ft; where the width is 1 ft shorter than the \n" ); document.write( " width: W = (L - 1) \n" ); document.write( "Area = L * (L-1) = 12 \n" ); document.write( "L^2 - L - 12 = 0 \n" ); document.write( "(L + 3)(L - 4) = 0 \n" ); document.write( " L = +4 \n" ); document.write( " |