Question

$\frac{x}{3} \times \frac{x}{7 } = \frac{5}{3}$solve for x please

Answer 1

Answer:

x=

x=5.92 or -5.92

Explanation:

Given the equation:

$\frac{x}{3}\times\frac{x}{7}=\frac{5}{3}$

Combine the fractions on the left-hand side by multiplying:

$\implies\frac{x^2}{21}=\frac{5}{3}$

Next, multiply both sides by 21:

$\begin{gathered} \frac{x^2}{21}\times21=\frac{5}{3}\times21 \\ \implies x^2=35 \end{gathered}$

Finally, find the square root of both sides:

$\begin{gathered} \sqrt{x^2}=\pm\sqrt{35} \\ x=\pm\sqrt[]{35} \\ x=\sqrt[]{35}\text{ or x=-}\sqrt[]{35} \\ x\approx5.92\text{ or }-5.92 \end{gathered}$