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Solve for [tex]\( x \)[/tex].

[tex]\[
\begin{array}{r}
\frac{5 \sqrt{7}}{7} \\
\frac{3 \sqrt{7}}{7} \\
\frac{-5 \sqrt{7}}{7}
\end{array}
\][/tex]

Sagot :

GinnyAnsweridn
To solve the given problem, let's examine each of the provided expressions one by one:

Option 1: [tex]\( \frac{5 \sqrt{7}}{7} \)[/tex]

1. The numerator is [tex]\(5 \sqrt{7}\)[/tex].
2. The denominator is 7.
3. Divide the numerator by the denominator: [tex]\( \frac{5 \sqrt{7}}{7} \)[/tex].

Calculating this value:

[tex]\[ \frac{5 \sqrt{7}}{7} = 1.889822365046136 \][/tex]

Option 2: [tex]\( \frac{3 \sqrt{7}}{7} \)[/tex]

1. The numerator is [tex]\(3 \sqrt{7}\)[/tex].
2. The denominator is 7.
3. Divide the numerator by the denominator: [tex]\( \frac{3 \sqrt{7}}{7} \)[/tex].

Calculating this value:

[tex]\[ \frac{3 \sqrt{7}}{7} = 1.1338934190276817 \][/tex]

Option 3: [tex]\( \frac{-5 \sqrt{7}}{7} \)[/tex]

1. The numerator is [tex]\(-5 \sqrt{7}\)[/tex].
2. The denominator is 7.
3. Divide the numerator by the denominator: [tex]\( \frac{-5 \sqrt{7}}{7} \)[/tex].

Calculating this value:

[tex]\[ \frac{-5 \sqrt{7}}{7} = -1.889822365046136 \][/tex]

Therefore, the detailed step-by-step numerical solutions for the given expressions are:

1. [tex]\( \frac{5 \sqrt{7}}{7} = 1.889822365046136 \)[/tex]
2. [tex]\( \frac{3 \sqrt{7}}{7} = 1.1338934190276817 \)[/tex]
3. [tex]\( \frac{-5 \sqrt{7}}{7} = -1.889822365046136 \)[/tex]
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