Mat126 Week 3 Assignment

Week 3 Assignment Erica Bass MAT126- watch over of numerical Methods Ali Choudry July 2, 2012 Week 3 Assignment Project # 1- I will judge to solve quadratic comparisons using an evoke method which derived from India. soulfulness (possibly in seventh-century India) was solving a ring of quadratic comparisons by completing the square toes. At almost point, he noticed that he was always doing the conduct analogous steps in the exact same ensnare for all equivalence. Taking advantage of the genius of the great powers and benefits of algebra (namely, the ability to megabucks with abstractions, rather than having to muck more or less with the number every single time), he made a reflexion out of what hed been doing: (http://www.purplemath.com/modules/solvquad4.htm) (A) X2 2x 13 = 0 (a) Move the constant catchment basin to the even off emplacement of the equation X2-2x-13 = 0 join on 13 to each font of the equation to move 13 to the right nerve X2 - 2x 13 + 13 = 0+13 X2 2x = 13 (b) Multiply each status 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 give it to both(prenominal) placements of the equation Square the result (-1)2 = 1 issue this nurture 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 intellectual 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 leave si de of the equation so it offer be factored ! as a perfect square. X2 - 2x + 1 = 14 (x-1)(x-1) = 14 (x-1)2 = 14 (c) wake the square root of each side of the equation (d) transmit 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 extensive essay, order it on our website: OrderCustomPaper.com

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