Respuesta :

Answer:

The solution for the given equation is 5.30.

Step-by-step explanation:

The given equation is

[tex]745=5x^3[/tex]

We need to find the solution for the given equation.

Divide both sides by 5.

[tex]\frac{745}{5}=\frac{5x^3}{5}[/tex]

Cancel out common factors.

[tex]149=x^3[/tex]

Taking cube roots on both sides.

[tex]\sqrt[3]{149}=\sqrt[n]{x^3}[/tex]

[tex]5.30145919238=x[/tex]

Interchange the sides.

[tex]x=5.30145919238[/tex]

Approx the answer to the hundredths place.

[tex]x\approx 5.30[/tex]

Therefore, the solution for the given equation is 5.30.