Answer:
x=-2 x=1
Step-by-step explanation:
16x2 + 10x – 27 = -6x + 5
Add 6x to each side
16x^2+6x + 10x – 27 = -6x+6x + 5
16x^2 +16x -27 = 5
Subtract 5 from each side
16x^2 + 16x – 27-5 = 5 - 5
16x^2 +16x -32 = 0
Factor out 16
16 (x^2 +x-2)=0
Factor
16 (x+2) (x-1) =0
Using the zero product property
(x+2) =0 x-1=0
x=-2 x=1
Let's raise i to various powers starting with 0,1,2,3...
i^0 = 1
i^1 = i
i^2 = ( sqrt(-1) )^2 = -1
i^3 = i^2*i = -1*i = -i
i^4 = (i^2)^2 = (-1)^2 = 1
i^5 = i^4*i = 1*i = i
i^6 = i^5*i = i*i = i^2 = -1
We see that the pattern repeats itself after 4 iterations. The four items to memorize are
i^0 = 1
i^1 = i
i^2 = -1
i^3 = -i
It bounces back and forth between 1 and i, alternating in sign as well. This could be one way to memorize the pattern.
To figure out something like i^25, we simply divide the exponent 25 over 4 to get the remainder. In this case, the remainder of 25/4 is 1 since 24/4 = 6, and 25 is one higher than 24.
This means i^25 = i^1 = i
Likewise,
i^5689 = i^1 = i
because 5689/4 = 1422 remainder 1. The quotient doesn't play a role at all so you can ignore it entirely
Can you please show us the excerpt? :)
Answer:
The formation of the equation is odd, but I assume it's supposed to be:
4k - 10k = -8k
-6k = -8k
-6k + 8k = -8k + 8k
2k = 0
= 
k = 0
