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ASSIGNMENT WEEK 3 (math126) INSTRUCTIONS. (Important) You should be concise in your reasoning. For Project #1, Work only equations (a) and (c), but complete all 6 steps (a-f) as shown in the example. For Project #2, Please select at least five numbers; 0 (zero), two even, and two odd of your choice. Make sure you organize your paper into separate projects. Use the same steps to solve project #2 as well. The assignment must include (a) all math work required to answer the problems as well as (b) introduction and conclusion paragraphs. Your introduction should include three to five sentences of general information about the topic at hand. The body must contain a restatement of the problems and all math work, including the steps and formulas used to solve the problems. Your conclusion must comprise a summary of the problems and the reason you selected a particular method to solve them. It would also be appropriate to include a statement as to what you learned and how you will apply the knowledge gained in this exercise to real-world situations NOTE: The assignment must be formatted according the APA (6th edition) style, which includes a title page and reference page. . THIS IS AN EXAMPLE: Solve x^2 +3x – 10 = 0 x^2 + 3x = 10 4x^2 + 12x + 9 = 40 + 9 4x^2 + 12x + 9 = 49 2x + 3 = ± 7 2x + 3 = 7 2x + 3 = - 7 2x = 4 and 2x = - 10 x=2 x=-5 ASSIGNMENTS PROJECT #1. An interesting method for solving quadratic equations came from India. The steps are; (a). Move the constant term to the right side of the equation. (b). Multiple each term in the equation by four times the coefficient of the x^2 term. (c). Square the coefficient of the original x term and add it t both sides of the equation. (d). Take the square root of both sides. (e). Set the left side of the equation equal to the positive square root of the number on the right side and solve for x. (f). Set the left side of the equation equal to the negative square root of the number on the right side of the equation and solve for x.. Equations to solve; (a). x^2 – 2x – 13 = 0 (c). x^2 + 12x – 64 = 0 PROJECT #2. Mathematicians have been searching for a formula that yields prime numbers. One such formula was x^2 – x + 41. Select some numbers for x, substitute them in the formula, and see if prime numbers occur. Try to find a number for x that when substituted in the formula yields a composite number.
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