SaiBook.us Algebra

Example

Title: Solve the equation

Grade: 9-a Lesson: S1-L5

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

Examples:

1. Find the value of 'x' in \$sqrt(x/4) = 4 \$.

Step 1a

Do squaring on both sides of the equation.

$1a$

Explanation: Apply square root on both sides of the equation.

Step 1b

Calculate the exponents.

$1b$

Explanation: Now calculate the value of the exponents.

⇒ \$(sqrt(x/4))^2 = 4^2\$

⇒ \$((x/4)^(1/2))^2 = 4^2\$

⇒ \$(x/4)^(2/2) = 4^2\$

⇒ \$(x/4)^(cancel2^1/cancel2^1) = 16\$

⇒ \$(x/4)^1 = 16\$

⇒ \$(x/4) = 16\$

Step 1c

Solve for x.

$1c$

Explanation: Rewrite equation \$x/4 = 16\$ as \$x/4 = 16/1\$.

Do cross multiplication to get the answer.

⇒ \$x/4 = 16/1\$

⇒ \$x times 1 = 16 times 4\$

⇒ \$x = 16 times 4\$

⇒ \$x = 64\$

The value of 'x' in \$sqrt(x/4) = 4\$ is \$x = 64\$.