These are 3 questions and 3 answers.
Question 1.
Answer: bot equations have the same potential solutions, but equation A may have extraneous solutions
Explanation:
1) Equation A

Replace x = -4 in the right side of the equation:

Which is not defined, so this is a extraneous solution.
2) Equation B.
Since it is a cube root, it is defined for any (negative, zero, and positive) values of x.
Question 2.
Answer: cubing both sides once.
Explanation:
![\sqrt[3]{5x-2} -\sqrt[3]{4x} =0\\ \\ \sqrt[3]{5x-2} =\sqrt[3]{4x}\\ \\ (\sqrt[3]{5x-2} )^3=(\sqrt[3]{4x})^3\\ \\ 5x-2=4x\\ \\ 5x-4x=2\\ \\ x=2](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B5x-2%7D%20-%5Csqrt%5B3%5D%7B4x%7D%20%3D0%5C%5C%20%5C%5C%20%20%5Csqrt%5B3%5D%7B5x-2%7D%20%3D%5Csqrt%5B3%5D%7B4x%7D%5C%5C%20%20%5C%5C%20%20%28%5Csqrt%5B3%5D%7B5x-2%7D%20%29%5E3%3D%28%5Csqrt%5B3%5D%7B4x%7D%29%5E3%5C%5C%20%20%5C%5C%20%205x-2%3D4x%5C%5C%20%5C%5C%20%205x-4x%3D2%5C%5C%20%5C%5C%20%20x%3D2%20)
3) Question 3.
Answer: c - 2 = 25 + c + 10√c
Explanation:

Answer:
Maybe you should refresh your page if you can.
Answer:
Volume = = 138⁶/32 cubic meters
Step-by-step explanation:
Given:
Length = 8⅜ m
Width = 2 m
Height = 8¼ m
Required:
Volume as a mixed number
Solution:
Volume of rectangular prism = L*W*H
Plug in the values
V = 8⅜ × 2 × 8¼
Change to improper fraction
V = 67/8 × 2 × 33/4
= (67 × 2 × 33)/(8 × 4)
= 4,422/32
= 138⁶/32 m³
Answer:
x = 9
Step-by-step explanation:
Since B is the midpoint, that means segment AB has to be the same length as BC.
Therefore:



