Answer:
x = 0, π/4, π, 7π/4
Step-by-step explanation:
sin(2x) = √2 sin x
Use double angle formula.
2 sin x cos x = √2 sin x
Move everything to one side.
2 sin x cos x − √2 sin x = 0
Factor.
sin x (2 cos x − √2) = 0
Solve.
sin x = 0, cos x = ½√2
x = 0, π/4, π, 7π/4
2/(x-4)-1/(x+3)
(2(x+3)-1(x-4))/(x-4)(x+3)
(2x+6-x+4)/(x-4)(x+3)
(x+10)/(x-4)(x+3)
Look at the ratio (2:3). You can see that the numbers of "ratio units" add up to 5, and that the total number of books is 100 times that value. Then each "ratio unit" stands for 100 books.
3 ratio units of chapter books mean there are 300 chapter books.
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Answer:
Step-by-step explanation:
We need to solve the following root equation:
![\sqrt[3]{x-1} + 2 = 0](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx-1%7D%20%2B%202%20%3D%200)
1. First, we need to add minus two to both sides of the equation:
![\sqrt[3]{x-1}= -2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx-1%7D%3D%20-2)
2. Elevate each side of the equation to the power of 3:
3. Solve for 'x':
Therefore, the result is:
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