# Graphical Solutions To Quadratic Equations

10 Questions | Total Attempts: 52  Settings  • 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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