Answer:
x=
x=5.92 or -5.92
Explanation:
Given the equation:
[tex]\frac{x}{3}\times\frac{x}{7}=\frac{5}{3}[/tex]Combine the fractions on the left-hand side by multiplying:
[tex]\implies\frac{x^2}{21}=\frac{5}{3}[/tex]Next, multiply both sides by 21:
[tex]\begin{gathered} \frac{x^2}{21}\times21=\frac{5}{3}\times21 \\ \implies x^2=35 \end{gathered}[/tex]Finally, find the square root of both sides:
[tex]\begin{gathered} \sqrt{x^2}=\pm\sqrt{35} \\ x=\pm\sqrt[]{35} \\ x=\sqrt[]{35}\text{ or x=-}\sqrt[]{35} \\ x\approx5.92\text{ or }-5.92 \end{gathered}[/tex]