Graphical Solutions To Quadratic Equations
10 Questions
| Total Attempts: 52
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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