Hello!
The equation to solve:
[tex] 5n^{3} -230 = 90[/tex]
To get all the constants on one side, add 230 to both sides:
[tex] 5n^{3} -230 = 90[/tex]
[tex] 5n^{3} - 230 + 230 = 90 +230[/tex]
[tex]5n^{3} = 320[/tex]
Next, divide both sides by 5 to eliminate the coefficient:
[tex]5n^{3} = 320[/tex]
[tex] \frac{ 5n^{3} }{5} = \frac{320}{5} [/tex]
[tex] n^{3} = 64[/tex]
Lastly, take the cube root of each side (or raise each side to the 1/3 power) to isolate n:
[tex] n^{3} = 64[/tex]
[tex] \sqrt[3]{ n^{3} } = \sqrt[3]{64} [/tex]
[tex] n = 4[/tex]
Answer:
n = 4
