Answer:
x = 1 ±
Step-by-step explanation:
Given
2x² - 4x = 10 ( divide through by 2 )
x² - 2x = 5
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = 5 + 1
(x - 1)² = 6 ( take the square root of both sides )
x - 1 = ± ( add 1 to both sides )
x = 1 ± ← exact solutions
The area of the house is the amount of space on the house.
The area of the addition is given as:
Expand
Factorize
Factor out x + 20
The width of the addition is x - 10.
Hence, the length of the addition is x + 20
<h3>The area of the original house</h3>The dimension of the original house is
x + 20 by x + 10
So, the area is:
Expand
This gives
Hence, the area of the original house is
Read more about areas at:
