Question

`(x)/(3) * (x)/(7 ) = (5)/(3)`solve for x please

Answer 1

x=

x=5.92 or -5.92

Step-by-step explanation:

Given the equation:

`(x)/(3)*(x)/(7)=(5)/(3)`

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

`\implies(x^2)/(21)=(5)/(3)`

Next, multiply both sides by 21:

`\begin{gathered} (x^2)/(21)*21=(5)/(3)*21 \\ \implies x^2=35 \end{gathered}`

Finally, find the square root of both sides:

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