Lesson Example Discussion Quiz: Class Homework |
Step-1 |
Title: Quadratic-Equations and Factors |
Grade: 1300-a Lesson: S2-L1 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Solve the quadratic equation: \$3x^2 - 4x - 4 = 0 \$. |
|
2 |
Formula: |
The quadratic formulae |
\$ x = (-b ± \sqrt(b^2 - 4ac)) / (2a) \$ |
3 |
Step |
Substitute the corresponding values using the quadratic formulae |
a = 3, b = - 4, and c = - 4 \$ x = (-(- 4) ± \sqrt((- 4)^2 - 4 * 3 * (- 4))) / (2 * 3) \$ \$ x = (4 ± 8) / 6 \$ |
4 |
Step |
The two possible solutions are |
\$ x = (4 + 8) / 6 \$ and \$ x = (4 - 8) / 6 \$ |
5 |
Step |
After cancellation of the equation |
⇒ x = 2 and \$ x = - 2/3 \$ |
6 |
Step |
Therefore, the solutions to the equation \$3x^2 - 4x - 4 = 0\$ are |
\$x = 2 and x = - 2/3\$ |
7 |
Choice.A |
The solutions provided for the quadratic equations are inaccurate and do not represent a valid solution |
\$ x = 2 and x = 3/2 \$ |
8 |
Choice.B |
The solutions provided for the quadratic equations are inaccurate and do not represent a valid solution |
\$ x = - 2 and x = - 2/3 \$ |
9 |
Choice.C |
The solutions provided for the quadratic equations are inaccurate and do not represent a valid solution |
\$ x = - 2 and x = - 3/2 \$ |
10 |
Choice.D |
Both solutions of the quadratic equation are correct and valid |
\$ x = 2 and x = - 2/3 \$ |
11 |
Answer |
Option |
D |
12 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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