document.write( "Question 929777: Rounded to the nearest tenth, find the root of x^3-5x^2-12x+60=0 that lies between 3 and 4. Express your answer as a decimal.\r
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\n" ); document.write( "Rounded to the nearest tenth, find the root of x^3-5x^2-12x+60=0 that lies between 3 and 4. Express your answer as a decimal.\r
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Using the rational root theorem, it's discovered that 5 is a root of the equation.
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document.write( "Thus, x = 5, or x - 5 = 0. This means that x - 5 is a factor of the equation: .
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document.write( "When this equation is divided by the factor, x - 5, its QUOTIENT is: . Thus, the factors of 
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document.write( " are: (x - 5) and .\r
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document.write( "Factoring  further, we see that 2 other roots of the equation are: 3.464101615 and - 3.464101615. \r
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document.write( "Thus, the root that lies between 3 and 4 is: 3.464101615 ≈  (to the nearest tenth).
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document.write( "You can do the check!! 
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