document.write( "Question 86808: I do not understand quadratic equations. Here's my question from my book. Solve each equation and inequality. Write the solution set for each inequality in interval notation.
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document.write( "a.) x^2 - x - 12 = 0
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document.write( "b.) x^2 - x - 12 < 0
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document.write( "c.)x^2 - x - 12 > 0
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Algebra.Com's Answer #62799 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Write the solution set for each inequality in interval notation. \n" ); document.write( "a.) x^2 - x - 12 = 0 \n" ); document.write( "(x-4)(x+3)=0 \n" ); document.write( "x=4 or x=-3 \n" ); document.write( "------------------ \n" ); document.write( "b.) x^2 - x - 12 < 0 \n" ); document.write( "(x-4)(x+3) < 0 \n" ); document.write( "This product will be <0 where the signs are different. \n" ); document.write( "Draw a number line and plot x=-3 and +4 on it. \n" ); document.write( "Test each of the three intervals of the line to see where the solution set interval(s) is(are). \n" ); document.write( "If x--10 you get (-)(-) so no solutions in (-inf,-4) \n" ); document.write( "If x=0 you get (-)(+) so solutions in (-4,3) \n" ); document.write( "If x=+10 you get (+)(+) so no solutions in (3,+inf) \n" ); document.write( "------------------- \n" ); document.write( "c.)x^2 - x - 12 > 0 \n" ); document.write( "(x-4)(x+3) >0 \n" ); document.write( "From the work done above you see there are solutions in \n" ); document.write( "(-inf,-4) and in (3,+inf) \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |