Question

A rectangle has sides of x and (x-2) cm.
The area of the rectangle is 3cm2
x-2
Show that (x - 1)2 - 4 = 0
answer...

Answer 1

Answer:

see explanation

Step-by-step explanation:

The area (A) of the rectangle is calculated as

A = length × width

Here length = x , width = x - 2 and A = 3 , then

x(x - 2) = 3 ← distribute left side

x² - 2x = 3

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = 3 + 1

(x - 1)² = 4 ( subtract 4 from both sides )

(x - 1)² - 4 = 0 ← as required