Solving Math Equations - 759 Words

MAT101 Case 4 Revised March 2014 (Dr. Rensvold) INSTRUCTIONS: Read the references found on the Background Info page. Study the examples there, and the ones given below. Work out the problems, showing all the computational steps. This is particularly important for those problems for which the answers are given. On those problems, the correct procedure is the only thing that counts toward the assignment grade. SOLVING QUADRATIC EQUATIONS BY FACTORING. References: Waner, 2007 Examples: E1: x 4 0.(x 2)(x 2) 0.The two factors are (x+2) and (x-2). If EITHER is equal to zero, the corresponding value of x is a root.Solving the two factors for x:(x+2)=0 x=-2(x-2)=0 x 2The two roots (solutio22ns) are x=2 and x=-2.ANS: x= 2Checking:(2) 4 4 4 0(-2) 4 4 4 0 E2: x 6.x x 6 0. (Must be in this form.)(x+2)(x-3)=0The two factors are (x+2) and (x-3). Checking:(x+2)(x-3)=x 3x 2x 6 x x 6.If EITHER is equal to zero, the corresponding value of x is a root.Solv222ing the two factors for x:(x+2)=0 x=-2(x-3)=0 x 3The two roots (solutions) are x=-2 and x=3ANS: x=-2 or +3.Checking:(x) x 6(-2) ( 2) 4 2 6(3) (3) 9 3 6 Problems 1 through 5: Find the roots (values of x when the expression is equal to zero) using factoring. Prove your answers are correct by checking, or showing that the values of x you computed satisfy the original equation. 1. X(4x 25) = 0 X = 0Show MoreRelatedSolving Math Equations: Module 4616 Words   |  2 PagesRensvold) A companys costs, in millions of dollars, are given by the equation, C = x2 3x 27, where x is the number of items sold, in thousands. What are the costs when 1,000 items are sold? 1,500 items? (Hint: If the number of items sold is 1000, then x=1. C = 12 3(1) 27 C = 1.52 - 3(1.5) - 27 = 1 -3 27 = 2.25 4.5 - 27 C = -29 C = -29.25 $29 million $29,250,000 A companys costs, in millions of dollars, are given by the equation, C = x2 3x 27, where x is the number of items sold, in thousands.Read MoreWhat Was Done By The Faculty Member And / Or Students?909 Words   |  4 Pagesbegan writing out and solving homework problems with an overhead projector. One student walked into class late, Ms. Connelly addressed it quickly with little disruption to the class. The student looked around the room and realized the other students had their homework out and he did the same. Ms. Connelly continued to work out homework problems step by step on the overhead projector. While doing this Ms. Connelly asked questions about the steps she used to solve the math equation and randomly calledRead MoreCurrent Performance Level Case Study900 Words   |  4 Pagescomplete thought and sentence. 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They solved problems without u sing symbols but rather statedRead MoreBasic Guiding Principles From California Common Core State Standards For Mathematics Essay1739 Words   |  7 Pagesin your own words the importance of these principles - Make sense of problems and persevere in solving them- The importance of this principle is that students must be able to deeply understand a problem by themselves this ensure that the student can analyze the problem and plan on how the will solve it. Reason abstractly and quantitatively- It’s important that students are able to pause during solving the problem and continue to analyze, reflect and strategize for the solution as needed. ConstructRead MoreMath Problems Into Real World Scenarios Essay1702 Words   |  7 Pages1. Make sense of problems and persevere in solving them- The importance of this principle is that students must be able to deeply understand a problem by themselves this ensure that the student can analyze the problem and plan on how the will solve it. 2. Reason abstractly and quantitatively- It’s important that students are able to pause during solving the problem and continue to analyze, reflect and strategize for the solution as needed. 3. Construct viable arguments and critique the reasoningRead MoreNiels Abel and Some of His Work703 Words   |  3 Pagesmathematicians come and go, but only a few remembered for their great accomplishments. Niels Henrik Abel is one of the greatest mathematicians that have influenced modern mathematics, solving and creating theorems, like the Abelian-Ruffini theorem and Abels theorem, and formulas/equations, like the abel equation, Abel’s inequality. He started discovering and creating these at a young age. 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