Algebra.Com's Answer #446974 by KMST(5328)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "There are easier quadratic equations\r
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document.write( "I know of 3 ways to solve quadratic equations like
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document.write( "Factoring will work if the answers are rational numbers.
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document.write( "Completing the square will always work.
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document.write( "Using the quadratic formula will always work too.
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document.write( "FACTORING:
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document.write( "When the leading coefficient is not 1 or -1, factoring is a little harder.
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document.write( "In this case, you must look for pairs of factors of  .
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document.write( "Giving a negative sign to one factor and a positive sign to the other, they must add up to the coefficient of the term in x, 1.
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document.write( "The number 110 can be written as 4 different products:
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document.write( "The last one is the one that works because 
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document.write( "So we use 11 and -10 as coefficients of x and write  as
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document.write( "Then we factor by grouping, like this:
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document.write( "So, since  we re-write the equation as
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document.write( " and find the solutions that make
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document.write( " -->  and
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document.write( " --> 
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document.write( "Since x must be positive to be the width of a rectangle, the only solution is  .
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document.write( "COMPLETING THE SQUARE:
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document.write( " -->  dividing both sides by 2
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document.write( " is part of  so if we add  to both sides we \"complete the square:
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document.write( " -->  -->  --> 
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document.write( " or  so
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document.write( "either  -->  -->  -->
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document.write( "or  -->  -->  -->
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document.write( "Same solutions to the equation, and the only solution to the geometry problem is .
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document.write( "THE QUADRATIC FORMULA
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document.write( "is a formula that derives from completing the square.
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document.write( "I never set to memorize it, but I have been using it for so long that I remember it.
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document.write( "For an equation of the form
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document.write( " the solutions are given by the quadratic formula:
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document.write( "In the case of  ,  and  so
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document.write( "So the solutions of the equation are
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document.write( " --> -->  --> -->
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document.write( "Since  cannot be the with of a rectangle, the only solution is . \n" );
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