D. All rational numbers are integers
Answer:
B. x = 5/2
Step-by-step explanation:
quadratic formula is:
(
±
)/2a
when
+ bx + c = 0
in this equation, a = 1, b = -5, c = 25/4
plug those into the equation and simplify to get x=5/2
(because b^2-4ac in this case is equal to 0, there is only one answer)
1st one is C and then the 2nd one is B
Answer:
No extraneous solution
Step-by-step explanation:
We have the logarithmic equation given by,
![\log_{2}[\log_{2}(\sqrt{4x})]=1](https://tex.z-dn.net/?f=%5Clog_%7B2%7D%5B%5Clog_%7B2%7D%28%5Csqrt%7B4x%7D%29%5D%3D1)
i.e. 
i.e. 
i.e. 
i.e. 
i.e. 
i.e. 
So, the solution of the given equation is x=4.
Now, as we domain of square root function is x > 0 and also, the domain of logarithmic function is
.
Therefore, the domain of the given function is x > 0.
We know that the extraneous solution is the solution which does not belong to the domain.
But as x=4 belongs to the domain x > 0.
Thus, x = 4 is not an extraneous solution.
Hence, this equation does not have any extraneous solution.