Graphical Solutions To Quadratic Equations

10 Questions | Total Attempts: 52

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Graphical Solutions To Quadratic Equations - Quiz


Questions and Answers
  • 1. 
    INSTRUCTIONSFor each of the questions below, use any graphing programmes or websites to help you solve the quadratic equations given. Type your answers without leaving any blank between the '=' sign. The answers are space-sensitive.Example 1:Solve (x - 3)2 = 0[In the Answer Box, key in: ]x=3[Press Enter]Example 2Solve (x - 3)(x + 3)= 0[In the Answer Box, key in: ]x=3 or x=-3[Press Enter]UNDERSTAND?
    • A. 

      Yes

    • B. 

      Maybe

    • C. 

      Tak faham . . .

  • 2. 
    Solve x2 - 4x + 3 = 0
  • 3. 
    Solve 1/6 (x - 1)2 - 6 = 0
  • 4. 
    Solve -x2 - 2/3 x = -11In Graphmatica, go to Tool --> Find Interection, then choose the two equations accordingly. You will get some decimal places, which you can also present in fraction.
  • 5. 
    Solve 5x2 + x - 2 = 4x2 + 3x - 3
  • 6. 
    How many real solutions are there for 3x2 - x +1 = 0
    • A. 

      3

    • B. 

      2

    • C. 

      1

    • D. 

      0

  • 7. 
    How many real solutions are there for (x - 1)2 - 3 = 4x + 1
    • A. 

      3

    • B. 

      2

    • C. 

      1

    • D. 

      0

  • 8. 
    How many real solutions are there for x2 + 3x - 7 = 5x - 8
    • A. 

      3

    • B. 

      2

    • C. 

      1

    • D. 

      0

  • 9. 
    Solve x + 2/x = 3
  • 10. 
    *Challenging*An equation is given as follow:4x2 - x + 3 = kx +2, where k is a whole number.Find the range values of k such that the equation will have ≥1 real solution. Hint: try different values of k in Graphmatica to get ≥ 1 intersections between the two graphs.
    • A. 

      K ≥ 3

    • B. 

      K ≤ 3

    • C. 

      -5 ≤ k ≤ 3

    • D. 

      K ≥ 3 or k ≤ -5

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