Respuesta :
(3x+4)³=2197
3x+4=z
z³=2197
z=∛2197
z=13
Then:
3x+4=13
3x=13-4
3x=9
x=9/3
x=3
answer: x=3
3x+4=z
z³=2197
z=∛2197
z=13
Then:
3x+4=13
3x=13-4
3x=9
x=9/3
x=3
answer: x=3
(3x + 4)³ = 2197
Taking the cube root in this case is easier, although we can do it the extended way which is complicated.
[tex] \sqrt[3]{(3x+4)^3} [/tex] = [tex] \sqrt[3]{2197} [/tex]
3x + 4 = 13
Now solve normally.
subtract 4
3x + 4 = 13
-4 -4
3x = 9
Divide by 3 to isolate 3
[tex] \frac{3x}{3} = \frac{9}{3} [/tex]
3 and 3 cancels out
x = 3
Taking the cube root in this case is easier, although we can do it the extended way which is complicated.
[tex] \sqrt[3]{(3x+4)^3} [/tex] = [tex] \sqrt[3]{2197} [/tex]
3x + 4 = 13
Now solve normally.
subtract 4
3x + 4 = 13
-4 -4
3x = 9
Divide by 3 to isolate 3
[tex] \frac{3x}{3} = \frac{9}{3} [/tex]
3 and 3 cancels out
x = 3