Mat126 Week 3 Assignment

Week 3 Assignment Erica Bass MAT126- mountain of numerical Methods Ali Choudry July 2, 2012 Week 3 Assignment Project # 1- I will judge to solve quadratic comparisons using an arouse method which derived from India. soulfulness (possibly in seventh-century India) was solving a dowry of quadratic comparisons by completing the square toes. At slightly point, he noticed that he was always doing the conduct aforementioned(prenominal) steps in the exact same ensnare for each equality. Taking advantage of the genius of the great powers and benefits of algebra (namely, the ability to accost with abstractions, rather than having to muck more or less with the song every single time), he made a canon out of what hed been doing: (http://www.purplemath.com/modules/solvquad4.htm) (A) X2 2x 13 = 0 (a) Move the constant limit to the even off emplacement of the equation X2-2x-13 = 0 sum up 13 to each font of the equation to move 13 to the right n erve X2 - 2x 13 + 13 = 0+13 X2 2x = 13 (b) Multiply each edge in the equation by four time the coefficient of the x2 term. Divide the coefficient of -2x by 2 -2/2 = -1 (c) Square the coefficient of the original x term and resume it to both(prenominal) side of meats of the equation Square the result (-1)2 = 1 chalk up this cheer to each side of the equation. This means that you will add 1 to each side of the equation.

X2 - 2x + 1 = 13-1 X2 2x+1 = 14 The motive for moving the 13 to the right side of the equation, and then adding the 1 to each side of the equation is: Changing the lea ve side of the equation so it offer be fact! ored as a perfect square. X2 - 2x + 1 = 14 (x-1)(x-1) = 14 (x-1)2 = 14 (c) burden the square root of each side of the equation (d) leave the square root of each side of the equation ?(x-1)2 = ± ?(14) x-1= ±? (14) Add 1 to each side of the equation to remove the 1 from the left side of the equation. This leaves the variablke x as the only term on the left side of the equation. x-1+1=1±? (14) x = 1 ±? (14) (e) Set the left...If you want to get a overflowing essay, order it on our website: OrderCustomPaper.com

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