Answer: 8x - 32
Work:
Simplify using the distributive property of multiplication.
8(x) = 8x
8(-4) = -32
Simplified expression: 8x - 32
Answer:
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
Step-by-step explanation:
8 cos^2 x + 4 cos x-4 = 0
Divide by 4
2 cos^2 x + cos x-1 = 0
Let u = cos x
2 u^2 +u -1 =0
Factor
(2u -1) ( u+1) = 0
Using the zero product property
2u-1 =0 u+1 =0
u = 1/2 u = -1
Substitute cosx for u
cos x = 1/2 cos x = -1
Take the inverse cos on each side
cos ^-1(cos x) = cos ^-1(1/2) cos ^-1( cos x) =cos ^-1( -1)
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
An integer is a positive or negative whole number.
-54/6 = - 9 ....integer
45/9 = 5...integer
-65.72....not an integer because it has a decimal...it is not a whole number
3/4 = 0.75.....not an integer because it is not a whole number
36....integer
