Week 3 date Erica Bass MAT126- Survey of mathematical Methods Ali Choudry July 2, 2012 Week 3 Assignment reckon # 1- I will forecast to solve quadratic comparisons victimization an interesting method which derived from India. soulfulness (possibly in seventh-century India) was solving a lot of quadratic comparisons by completing the true toes. At some point, he find that he was always doing the stand same steps in the exact same cast for every comparability. Taking utility of the genius of the great powers and benefits of algebra (namely, the dexterity to deal with abstractions, rather than having to bollocks more or slight with the numbers every unmarried 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 term to the even off spatial relation of the equation X2-2x-13 = 0 Add 13 to all(prenominal) font of the equation to apparent motion 13 to the right nerve X2 - 2x 13 + 13 = 0+13 X2 2x = 13 (b) breed for each(prenominal) one term in the equation by 4 time the coefficient of the x2 term. Divide the coefficient of -2x by 2 -2/2 = -1 (c) Square the coefficient of the pilot light x term and minimal brain damage it to both(prenominal) positions of the equation Square the result (-1)2 = 1 Add this revalue to each spot of the equation. This office that you will add 1 to each ramp of the equation.
X2 - 2x + 1 = 13-1 X2 2x+1 = 14 The reason for base 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 finished square. X2 - 2x + 1 = 14 (x-1)(x-1) = 14 (x-1)2 = 14 (c) consequence the square stem turn 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 use up the 1 from the odd side of the equation. This leaves the variablke x as the moreover term on the left side of the equation. x-1+1=1±? (14) x = 1 ±? (14) (e) put up the left...If you want to get a full essay, order it on our website:
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