Given:
The given equation is:
![\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%7B2x%7D%7D%7B%5Csqrt%7Bx-1%7D%7D%3D2)
To find:
The solution for the given equation.
Solution:
We have,
![\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%7B2x%7D%7D%7B%5Csqrt%7Bx-1%7D%7D%3D2)
On simplification, we get
![\sqrt{2x}=2\sqrt{x-1}](https://tex.z-dn.net/?f=%5Csqrt%7B2x%7D%3D2%5Csqrt%7Bx-1%7D)
Squaring both sides, we get
![2x=4(x-1)](https://tex.z-dn.net/?f=2x%3D4%28x-1%29)
![2x=4x-4](https://tex.z-dn.net/?f=2x%3D4x-4)
![2x-4x=-4](https://tex.z-dn.net/?f=2x-4x%3D-4)
![-2x=-4](https://tex.z-dn.net/?f=-2x%3D-4)
Divide both sides by -2.
![x=\dfrac{-4}{-2}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-4%7D%7B-2%7D)
![x=2](https://tex.z-dn.net/?f=x%3D2)
Therefore, the correct option is B.
21 I think because 3 times 7 is 21 so you multiply 3 times 7.
Answer:
y= - abs(2x)
Step-by-step explanation:
No
Explanation : because no :3