Lesson Example Discussion Quiz: Class Homework |
Step-1 |
Title: Equation with two radicals |
Grade: 8-b Lesson: S2-L4 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Solve the equation: |
|
2 |
Step |
Given equation: |
\$\sqrt(2L + 5) = \sqrt(L + 7)\$ |
3 |
Hint |
Square both sides to eliminate the square roots: |
\$(\sqrt(2L + 5))^2 = (\sqrt(L + 7))^2\$ 2L + 5 = L + 7 |
4 |
Step |
Subtract L from both sides: |
2L + 5 - L = L + 7 - L L + 5 = 7 L = 2 |
5 |
Step |
Verify the solution by substituting L=2 back into the original equation: |
\$\sqrt((2 \times 2) + 5) = \sqrt(2 + 7)\$ |
6 |
Step |
Simplifies to: |
\$\sqrt(4 + 5) = \sqrt(9)\$ \$\sqrt(9) = \sqrt(9)\$ 3 = 3 |
7 |
Step |
Since both sides of the equation are equal, the solution L=2 is correct. |
|
8 |
Choice.A |
This option value does not make both sides of the equation equal |
L = 3 |
9 |
Choice.B |
This option correctly satisfies the equation when substituted back |
L = 2 |
10 |
Choice.C |
Substituting this option into the equation results in unequal sides |
L = 1 |
11 |
Choice.D |
This value fails to solve the equation correctly |
L = -3 |
12 |
Answer |
Option |
B |
13 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
|
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