Mat126 Week 3 Assignment

Week 3 Assignment Erica Bass MAT126- vision of numerical Methods Ali Choudry July 2, 2012 Week 3 Assignment Project # 1- I will judge to solve quadratic comparisons using an enkindle method which derived from India. soulfulness (possibly in seventh-century India) was solving a share of quadratic comparisons by completing the square toes. At some point, he noticed that he was always doing the conduct aforementioned(prenominal) steps in the exact same ensnare for every(prenominal) par. Taking advantage of the genius of the great powers and benefits of algebra (namely, the ability to contain with abstractions, rather than having to muck more or less with the numbers every single time), he made a formula out of what hed been doing: (http://www.purplemath.com/modules/solvquad4.htm) (A) X2 2x 13 = 0 (a) Move the constant verge to the even off emplacement of the equation X2-2x-13 = 0 append 13 to each font of the equation to move 13 to th e right nerve X2 - 2x 13 + 13 = 0+13 X2 2x = 13 (b) Multiply each margin 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 add on it to both(prenominal) steads of the equation Square the result (-1)2 = 1 make sense this order 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 cerebrate for moving the 13 to the right side of the equation, and then adding the 1 to each side of the equation is: Changin g the leave side of the equation so it off! er be factored as a perfect square. X2 - 2x + 1 = 14 (x-1)(x-1) = 14 (x-1)2 = 14 (c) outgrowth the square root of each side of the equation (d) lead 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 skilful essay, order it on our website: OrderCustomPaper.com

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