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What is the solution to the equation below? Round your answer to two decimal places.

[tex]\( x = -2 \)[/tex]

A. [tex]\( x = -7.39 \)[/tex]

B. [tex]\( x = 0.34 \)[/tex]

C. [tex]\( x = -0.69 \)[/tex]

D. [tex]\( x = 0.14 \)[/tex]


Sagot :

Given the equation [tex]\( x = -2 \)[/tex], we need to determine the correct value of [tex]\( x \)[/tex] from the provided options and round the answer to two decimal places.

Let's analyze each step:

1. The equation given is:
[tex]\[ x = -2 \][/tex]

2. The equation directly states that [tex]\( x \)[/tex] is equal to [tex]\(-2\)[/tex]. This means that [tex]\( x \)[/tex] must exactly be [tex]\(-2\)[/tex].

3. We must round [tex]\(-2\)[/tex] to two decimal places. Even when rounded to two decimal places, [tex]\(-2\)[/tex] remains [tex]\(-2.00\)[/tex], as there are no additional digits to change its value.

4. Now, we compare this value to the provided options:
- Option A: [tex]\( x = -7.39 \)[/tex]
- Option B: [tex]\( x = 0.34 \)[/tex]
- Option C: [tex]\( x = -0.69 \)[/tex]
- Option D: [tex]\( x = 0.14 \)[/tex]

Clearly, none of the provided options match [tex]\( x = -2 \)[/tex] (or [tex]\(-2.00\)[/tex] when rounded to two decimal places).

Therefore, the correct conclusion is:
[tex]\[ \text{None of the given options A, B, C, or D is correct for the equation } x = -2. \][/tex]
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