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 $2\sqrt[3]{x-7}+11=3$ for x.

His steps were:

$\begin{aligned}2\sqrt[3]{x-7}&=-8\\ \sqrt[3]{x-7}&=-4\\ \left(\sqrt[3]{x-7}\right)^3&=(-4)^3\\ x-7&=-64 \end{aligned}$

Since cube roots do not give two solutions when solved, it is not necessary to check his answers for extraneous solutions.

7 0

3 years ago

Is this the right answer?

zalisa [80]

Yes, it is the correct answer.

8 0

3 years ago

Someone explain this?

nadya68 [22]

$5\sqrt{96}$ .
I converted it into decimal form with a calculator and got approximately 48.9898

And if you round that, you will get the 49, which fits the inequality of

45< $5\sqrt{96}$ < 50 since it becomes 45 < 49 < 50 which is true

8 0

2 years ago

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How many feet are in 9 meters? 1 m = 3.3 ft 9 m = [?] ft

sukhopar [10]

9 x 3.3 ft = 29.7 feet

8 0

3 years ago

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