WEILAI Online Academic assistant
WEILAI Online Academic assistant
Back to 课程

Maths Gcse Wjec-Eduqas Higher

0% Complete
0/0 Steps
  1. Scatter-Graphs-And-Correlation Wjec-Eduqas Higher
    2 主题
  2. Cumulative-Frequency-And-Box-Plots Wjec-Eduqas Higher
    4 主题
  3. Histograms Wjec-Eduqas Higher
    3 主题
  4. Statistical-Diagrams- Wjec-Eduqas Higher
    6 主题
  5. Averages-Ranges-And-Data Wjec-Eduqas Higher
    8 主题
  6. Combined-And-Conditional-Probability Wjec-Eduqas Higher
    3 主题
  7. Tree-Diagrams- Wjec-Eduqas Higher
    1 主题
  8. Simple-Probability-Diagrams- Wjec-Eduqas Higher
    3 主题
  9. Introduction-To-Probability Wjec-Eduqas Higher
    3 主题
  10. Transformations Wjec-Eduqas Higher
    5 主题
  11. Vectors Wjec-Eduqas Higher
    6 主题
  12. 3D-Pythagoras-And-Trigonometry Wjec-Eduqas Higher
    1 主题
  13. Sine-Cosine-Rule-And-Area-Of-Triangles- Wjec-Eduqas Higher
    4 主题
  14. Pythagoras-And-Trigonometry Wjec-Eduqas Higher
    4 主题
  15. Area-And-Volume-Of-Similar-Shapes Wjec-Eduqas Higher
    1 主题
  16. Congruence-Similarity-And-Geometrical-Proof Wjec-Eduqas Higher
    5 主题
  17. Volume-And-Surface-Area- Wjec-Eduqas Higher
    3 主题
  18. Circles-Arcs-And-Sectors- Wjec-Eduqas Higher
    2 主题
  19. Area-And-Perimeter- Wjec-Eduqas Higher
    4 主题
  20. Circle-Theorems Wjec-Eduqas Higher
    7 主题
  21. Bearings-Scale-Drawing-Constructions-And-Loci Wjec-Eduqas Higher
    5 主题
  22. Angles-In-Polygons-And-Parallel-Lines Wjec-Eduqas Higher
    3 主题
  23. Symmetry-And-Shapes Wjec-Eduqas Higher
    6 主题
  24. Exchange-Rates-And-Best-Buys Wjec-Eduqas Higher
    2 主题
  25. Standard-And-Compound-Units- Wjec-Eduqas Higher
    5 主题
  26. Direct-And-Inverse-Proportion- Wjec-Eduqas Higher
    2 主题
  27. Problem-Solving-With-Ratios Wjec-Eduqas Higher
    2 主题
  28. Ratios Wjec-Eduqas Higher
    3 主题
  29. Sequences Wjec-Eduqas Higher
    4 主题
  30. Transformations-Of-Graphs- Wjec-Eduqas Higher
    2 主题
  31. Graphing-Inequalities- Wjec-Eduqas Higher
    2 主题
  32. Solving-Inequalities- Wjec-Eduqas Higher
    2 主题
  33. Real-Life-Graphs Wjec-Eduqas Higher
    4 主题
  34. Estimating-Gradients-And-Areas-Under-Graphs Wjec-Eduqas Higher
    2 主题
  35. Equation-Of-A-Circle- Wjec-Eduqas Higher
    2 主题
  36. Graphs-Of-Functions Wjec-Eduqas Higher
    6 主题
  37. Linear-Graphs Wjec-Eduqas Higher
    4 主题
  38. Quadratic-Equations Wjec-Eduqas Higher
    4 主题
  39. Linear-Equations- Wjec-Eduqas Higher
    1 主题
  40. Algebraic-Proof Wjec-Eduqas Higher
    1 主题
  41. Rearranging-Formulae Wjec-Eduqas Higher
    2 主题
  42. Coordinate-Geometry- Wjec-Eduqas Higher
    4 主题
  43. Functions Wjec-Eduqas Higher
    3 主题
  44. Forming-And-Solving-Equations Wjec-Eduqas Higher
    3 主题
  45. Iteration Wjec-Eduqas Higher
    2 主题
  46. Simultaneous-Equations Wjec-Eduqas Higher
    2 主题
  47. Algebraic-Fractions- Wjec-Eduqas Higher
    4 主题
  48. Completing-The-Square Wjec-Eduqas Higher
    1 主题
  49. Factorising Wjec-Eduqas Higher
    6 主题
  50. Expanding-Brackets Wjec-Eduqas Higher
    3 主题
  51. Algebraic-Roots-And-Indices Wjec-Eduqas Higher
    1 主题
  52. Introduction-To-Algebra Wjec-Eduqas Higher
    4 主题
  53. Using-A-Calculator Wjec-Eduqas Higher
    1 主题
  54. Surds Wjec-Eduqas Higher
    2 主题
  55. Rounding-Estimation-And-Bounds Wjec-Eduqas Higher
    2 主题
  56. Fractions-Decimals-And-Percentages Wjec-Eduqas Higher
    3 主题
  57. Simple-And-Compound-Interest-Growth-And-Decay Wjec-Eduqas Higher
    4 主题
  58. Percentages Wjec-Eduqas Higher
    3 主题
  59. Fractions Wjec-Eduqas Higher
    4 主题
  60. Powers-Roots-And-Standard-Form Wjec-Eduqas Higher
    4 主题
  61. Prime-Factors-Hcf-And-Lcm- Wjec-Eduqas Higher
    4 主题
  62. Number-Operations Wjec-Eduqas Higher
    10 主题
课 Progress
0% Complete

Exam code:C300

Quadratic formula

What is the quadratic formula?

  • A quadratic equation has the form ax2 + bx + c = 0 (where a ≠ 0)

    • you need “= 0” on one side

  • The quadratic formula is a formula that gives both solutions to a quadratic equation:

x equals fraction numerator negative b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction

Examiner Tips and Tricks

  • Make sure the quadratic equation has “= 0” on the right-hand side

    • Otherwise it needs rearranging first

How do I use the quadratic formula to solve a quadratic equation?

  • Read off the values of a, b and c from the equation

  • Substitute these into the formula

    • Write this line of working in the exam

    • Put brackets around any negative numbers being substituted in

  • To solve 2x2 – 8x – 3 = 0 using the quadratic formula:

    • a = 2, b = -8 and c = -3

    • x equals fraction numerator negative open parentheses negative 8 close parentheses plus-or-minus square root of open parentheses negative 8 close parentheses squared minus 4 cross times 2 cross times open parentheses negative 3 close parentheses end root over denominator 2 cross times 2 end fraction

    • Either type this into a calculator or simplify by hand

      • Type it once using + for ± then again using – for ±

    • The solutions are x = 4.3452078… or x = -0.34520787….

      • To 3 decimal places: x = 4.345 or x = -0.345

      • To 3 significant figures: x = 4.35 or x = -0.345

Examiner Tips and Tricks

  • Always look for how the question wants you to leave your final answers

    • For example, correct to 2 decimal places

How do I write the solutions in an exact (surd) form?

  • You may be asked to give answers in an exact (surd) form

    • <

Responses

您的邮箱地址不会被公开。 必填项已用 * 标注