Answer:

Step-by-step explanation:
<u><em>Given equation is</em></u>

Adding 42 to both sides

Completing squares

Adding (3)² => 9 and (3)² => 9 to both sides

Comparing it with
where Center = (h,k) and Radius = r
We get:
Center = (3,3)
Radius = 
Answer: B
Step-by-step explanation:
Answer:
Either A or B.
Step-by-step explanation:
When shifting to the left you are adding to x.
Example: x^2 shifted to the left by 3. (x+3)^2
Answer: x = 
Step-by-step explanation:
= 
1/27 can be written in index form as 
The equation then becomes:
= 
Equating the coefficient
4x - 5 = -3 ( 2x + 10)
4x - 5 = -6x - 30
10x = -30 + 5
10x = -25
x = -25/10
x = -5/2
x = - 2.5
X⁴ - 81 = x⁴ - 9² (Difference of 2 squares, then we an write it:
(x²-3)(x²+3) =0, → then (x²-3) = 0 and (x²+3)=0
(x²-3) = 0 → x² = 3 → x = +√3 and x = -√3
(x²+3) =0 → x² = -3 → x = +√-3 and x = -√3→ or i√3 AND x = -i√3
A{ -3 , +3 , -i√3 , i√3}