2 consecutive odd integers.....x and x + 2.....the product means multiply....the sum means add.
x(x + 2) = 4(x + x + 2) - 1
x^2 + 2x = 4(2x + 2) - 1
x^2 + 2x = 8x + 8 - 1
x^2 + 2x = 8x + 7
x^2 + 2x - 8x - 7 = 0
x^2 - 6x - 7 = 0
(x - 7)(x + 1) = 0
x - 7 = 0 x + 2 = 7 + 2 = 9
x = 7
x + 1 = 0 x + 2 = -1 + 2 = 1
x = -1
there can be 2 answers for this....
(1) 7 and 9
(2) -1 and 1
Answer:
Step-by-step explanation:
use the formula { a couple of times} cos 2 Θ = 2 cos ² Θ - 1 = 1 - 2 sin ² Θ....your answer will likely have a cos 2x , a cos 4x , and a cos 6x in it.....note : cos ² Θ - sin ²Φ = cos ( Θ + Φ) cos (Θ - Φ) will also be needed for appropriate choices of Θ & Φ in terms of x
Answer:
3 to 7
Step-by-step explanation:
Answer: PiN, Pi/3+2PiN, 5Pi/3+2PiN
Step-by-step explanation: Use formula sheet
