SaiBook.us Algebra

Example

Title: Equation with one radical

Grade: 8-b Lesson: S2-L3

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 \$root(3) ( 2m - 4) = 3\$.

Step 1a

The given equation is \$root(3) (2m - 4) = 3\$

Cube both sides to eliminate the cube root:

\$(root(3) (2m - 4))^3 = 3^3\$

This simplifies to 2m - 4 = 27

Move the constant term to the right side: 2m = 27 + 4

Simplify: 2m = 31

So solve for m: \$ m = 31/2\$

m = 15.5

Explanation: First, cube both sides to eliminate the cube root, then simplify the equation to solve for m, which is 15.5.