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DIA [1.3K]
3 years ago
13

Solve the equation, and check the solutions 2(√x+3)=6.

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
4 0

Answer:

x = 0

Step-by-step explanation:

2(\sqrt{x}+3)=6

Expanding the left hand side we get

\Rightarrow 2\sqrt{x}+6=6

Taking 6 from left hand side to right hand side

\Rightarrow 2\sqrt{x}=6-6\\\Rightarrow 2\sqrt{x}=0

Dividing both sides by 2

\Rightarrow \sqrt{x}=\frac{0}{2}\\\Rightarrow \sqrt{x}=0\\\Rightarrow x=0

So, x = 0

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These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).

To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.

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To simplify, we should distribute the 6 on the right side of the equation.

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Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.

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Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.

Hope this helps!


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