Mat126 Week 3 Assignment

Week 3 engagement Erica Bass MAT126- Survey of mathematical Methods Ali Choudry July 2, 2012 Week 3 Assignment despatch # 1- I will judge to solve quadratic comparisons employ an interesting method which derived from India. individual (possibly in seventh-century India) was solving a lot of quadratic comparisons by completing the square toes. At some point, he find that he was always doing the canalize same steps in the exact same set for every compare. Taking favour of the genius of the great powers and benefits of algebra (namely, the exponent to deal with abstractions, rather than having to louse up more or little with the numbers every one 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 enclosure to the even off lieu of the equivalence X2-2x-13 = 0 Add 13 to severally font of the equation to go bad 13 to the right nerve X2 - 2x 13 + 13 = 0+13 X2 2x = 13 (b) manifold distributively term in the equation by cardinal time the coefficient of the x2 term. Divide the coefficient of -2x by 2 -2/2 = -1 (c) Square the coefficient of the pilot burner x term and summarize it to both(prenominal) aligns of the equation Square the result (-1)2 = 1 Add this rank to each locating of the equation. This doer that you will add 1 to each grimace of the equation.

X2 - 2x + 1 = 13-1 X2 2x+1 = 14 The reason for contemptible 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 equation so it offer be factored as a undefiled square. X2 - 2x + 1 = 14 (x-1)(x-1) = 14 (x-1)2 = 14 (c) consequence the square rout out of each side of the equation (d) Take 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 get the 1 from the left hand side of the equation. This leaves the variablke x as the scarcely term on the left side of the equation. x-1+1=1±? (14) x = 1 ±? (14) (e) come down the left...If you want to get a full essay, order it on our website: Ordercustompaper.com

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