Answer:
it is the domain
Step-by-step explanation:
because if you put 5x on the other side it will be a -5
Answer:
the 4th one
Step-by-step explanation:
So to better understand this question, let us define rational and irrational numbers first. Rational numbers are those numbers that can be written in fractions. On the other hand, irrational numbers are those numbers that cannot be written as fractions and the common example of it is pi. So, the rational number that is between 9.5 and 9.7 would be 9.6. This can be written as 9 and 3/5 or 48/5. And the irrational number would be <span>9.562359123571283578. Hope this answer helps.</span>
Answer:
No
Step-by-step explanation:
An extraneous solution is a root of a transformed equation which is not a root of the original equation because it was not included in the domain of the original equation.
Ahmed is solving ![2\sqrt[3]{x-7}+11=3](https://tex.z-dn.net/?f=2%5Csqrt%5B3%5D%7Bx-7%7D%2B11%3D3)
for x.
His steps were:
![\begin{aligned}2\sqrt[3]{x-7}&=-8\\ \sqrt[3]{x-7}&=-4\\ \left(\sqrt[3]{x-7}\right)^3&=(-4)^3\\ x-7&=-64 \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D2%5Csqrt%5B3%5D%7Bx-7%7D%26%3D-8%5C%5C%20%20%5Csqrt%5B3%5D%7Bx-7%7D%26%3D-4%5C%5C%20%20%5Cleft%28%5Csqrt%5B3%5D%7Bx-7%7D%5Cright%29%5E3%26%3D%28-4%29%5E3%5C%5C%20%20x-7%26%3D-64%20%5Cend%7Baligned%7D)
Since cube roots <u>do not give two solutions when solved</u>, it is <u>not necessary </u>to check his answers for extraneous solutions.
