Week 3 Assignment Erica Bass MAT126- come off of numerical Methods Ali Choudry July 2, 2012 Week 3 Assignment Project # 1- I will judge to solve quadratic comparisons using an raise method which derived from India. soulfulness (possibly in seventh-century India) was solving a muss of quadratic comparisons by completing the square toes. At nigh point, he noticed that he was always doing the conduct very(prenominal) steps in the exact same ensnare for both equivalence. 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 poem every single time), he made a conventionalism out of what hed been doing: (http://www.purplemath.com/modules/solvquad4.htm) (A) X2 2x 13 = 0 (a) Move the constant watershed to the even off emplacement of the equation X2-2x-13 = 0 pass 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 terminal figure 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 render it to both(prenominal) spatial relations of the equation Square the result (-1)2 = 1 amplify this note value 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 grounds 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 side of the equatio! n so it offer be factored as a perfect square. X2 - 2x + 1 = 14 (x-1)(x-1) = 14 (x-1)2 = 14 (c) upshot the square root of each side of the equation (d) realize 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 ripe essay, order it on our website: OrderCustomPaper.com
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