SaiBook.us Algebra

Example

Title: Solving Equations with Radicals

Grade: 8-b Lesson: S2-L2

Explanation: The best way to understand algebra is by looking at some examples. Take turns and read each example for easy understanding.

Examples:

Solve the equation \$\sqrt(x + 3) = 5\$.

Step 1a

Square both sides to eliminate the square root:
\$(\sqrt(x + 3))^2 = 5^2\$
x + 3 = 25

Subtract 3 from both sides to isolate x:
x = 25 - 3
x = 22

Verify the solution by substituting x = 22 back into the original equation:

\$\sqrt(22 + 3) = \sqrt(25) = 5\$

Explanation: The solution to the equation \$\sqrt(x + 3) = 5\$ is x = 22.