Lesson Example Discussion Quiz: Class Homework |
Step-3 |
Title: Non-linear equations in one variable |
Grade: 1300-a Lesson: S1-L6 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Solved for non-linear equations \$7x^2 = 5x + 12\$. |
|
2 |
Hint |
Applying the factorization technique |
\$7x^2 - 5x - 12 = 0\$ \$7x^2 - 12x + 7x - 12 = 0\$ \$x(7x - 12) + 1 (7x - 12) = 0\$ \$(7x - 12) (x + 1) = 0\$ |
3 |
Step |
Finding x values |
7x - 12 = 0 and x + 1 = 0 \$x = 12/7\$ and x = - 1 |
4 |
Step |
Therefore, the solutions to the equation is \$7x^2 = 5x + 12\$ are \$x = 12/7\$ and x = - 1. |
|
5 |
Choice.A |
This option correctly includes both solutions we found: \$x = 12/7\$ and x = − 1. Therefore, Option A is correct |
\$x = 12/7\$ and x = - 1 |
6 |
Choice.B |
The answer is incorrect; It’s the inverse of the right answer with a negative sign |
\$x = - 7/12\$ and x = - 1 |
7 |
Choice.C |
The answer is wrong; The right one has a positive sign, while this choice has a negative sign |
\$x = -12/7\$ and x = - 1 |
8 |
Choice.D |
Option D’s inaccuracy lies in proposing \$x = 7/12\$ instead of the correct \$x = 12/7\$ as in option A |
\$x = 7/12\$ and x = - 1 |
9 |
Answer |
Option |
A |
10 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
|
Copyright © 2020-2022 saibook.us Contact: info@saibook.us Version: 1.5 Built: 17-June-2024 09:20AM EST