Answer:r=1.104
Step-by-step explanation:
Starting value a_1=256
Also
can be expressed as
where r=common ratio
r=1.104
According to the triangle sum theorem, the total of all angles in a triangle must equal 180 degrees. Given that one angle measures 90 degrees, we can determine the other angles by calculating 180-90=90. The remaining two angles must sum to 90 degrees, precisely.
Given parameters:
Equation:
(x-4)²=9
Problem: Solve the equation by both factoring and extracting the square root.
Solution:
Starting equation:
(x-4)²=9
Subtracting 9 from both sides brings us to zero;
(x-4)² - 9 = 0
(x -4)² - 3² = 0
This fits the concept of the difference of squares;
x² - y² = (x + y)(x-y)
Let x = x-4 and y = -3
Then input and solve;
(x - 4 -3)(x - 4 -(-3)) = 0
(x - 7)(x - 1) = 0
S thus,
x - 7 = 0 or x-1 = 0
x = 7 or 1
<pBy extracting the square roots;
(x-4)² = 9
√(x-4)² = √9
x - 4 = 3
x = 4 + 3 = 7; however, this is not the sole solution
Thus, direct extraction of the square root is not the method for complete solutions.
The appropriate conversion should be 0.2. If that's incorrect, please let me know.
