<span>4x² - 5x + 1 = 0
a = 4; b = - 5, c = 1
</span>Δ = b² - 4.a.c
Δ = (-5)² - 4.4.1
Δ = 25 - 16
Δ = 9
<span>
x = - b </span>± √Δ / 2.a



A. Two real solutions (x' = -1 and x'' = -1/4)
Answer: 57.1 (rounded)
Step-by-step explanation:
Area of triangle formula: 1/2 x base x height
Area of a semicircle: 1/2 x pi x r^2
(1/2 x 8 x 8) + (1/2 x pi x 4^2)
= 57.1 (rounded)
Given:
The area model for
.
To find:
The value of
and the missing values in the area model.
Solution:
2.1 can be written as 2 and 0.1 on the left side of the area model.
3.2 can be written as 3 and 0.2 on the top of area model.
Area of the four parts of the area model are:




The complete area model is shown below.
After adding all areas of the area model, we get

Therefore, the value of
is 6.72 and the missing values of the area model are 0.3 and 0.02 respectively.