Kim Solving
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Kim Solving

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    Kim Solving Kim Solving Presentation Transcript

    • Solve
      Kim Dart
    • Solving Equations
      Solve for a certain variable, which is normally x.
      Involves re-arranging the equation to get x by itself.
      E.g. 2x + 6 = 4,
      2x = -2
      x = -1
    • Solving using the null factor law
      If the product of any two numbers is zero, then one or both of the numbers is zero.That is, if ab = 0, then a = 0 or b = 0 (which includes the possibility that a = b = 0).
      E.g if (x-6)(x-3) = 0 then x is said to be 6 or 3.
      Helps us to find the x intercepts and y intercepts of a graph as the graph will intersect the axis when x or y equal zero.
    • Solving Exponential and Logarithmic Equations
      a^x = a^y, implies x=y
      E.g. 3^(x-1) = 256
      3^(x-1) = 3^4
      x – 1 = 4, x = 5
      Sometimes you need to re-arrange the equation back into its logarithmic form, using the rule
      logax = y if ay = x
      E.g. Solve the equation 0=-5e(x/2) for x:
      (Do Question Together as a Class)
      (Solution Page 157 Notes Book)
    • Book Questions:
      Complete;
      Exercise 5.C; Q3.a, c, e, k
    • Solving Logarithmic Functions Cont.
      E.g. Log2x = 5
      x = 25 , x = 32
      Logx27 = 3/2
      x3/2 = 27
      x = 272/3 , x = 9
      Loge(x-1) + loge(x+2) = loge(6x-8)
      loge(x-1)(x+2) = loge(6x-8)
      x2 + x – 2 = 6x – 8
      x2 – 5x + 6 = 0
      (x-3)(x-2) = 0, x = 3 or x = 2
    • Book Questions
      Do Question 4.e, page 175
      Complete;
      Exercise 5.D; Q3.a, c, e, i. Q4. a , b, c,
    • Solving using the Solve( command
      Enter solve( by pressing F2 and then 1. Next type your equation in, and then put a comma and type in x (or whatever variable your solving for). Then close the brackets.
      E.g. for Loge(x-1) + loge(x+2) = loge(6x-8) you would type solve(ln(x-1) + ln(x+2) = ln(6x-8),x)
    • Solving Circular Functions
      Involves re-arranging to get x by itself.
      Do example 18b, page 214 on the board.
      Solve this equation individually;
      solve √2sinx + 1 = 0 for x.
    • Book Questions
      Complete;
      Exercise 6.H; Q.1. a, c, e – only finding x interecepts.Q2. a, c, e – only finding x intercepts for the interval [0,2π]