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Jobisdone [24]
4 years ago
12

(3x+4)^3=2197 solve this equation

Mathematics
2 answers:
Burka [1]4 years ago
7 0
(3x + 4)³ = 2197

Taking the cube root in this case is easier, although we can do it the extended way which is complicated.

\sqrt[3]{(3x+4)^3} = \sqrt[3]{2197}
3x + 4 = 13

Now solve normally.

subtract 4
3x + 4 = 13
       -4    -4

3x = 9
Divide by 3 to isolate 3

\frac{3x}{3}  =  \frac{9}{3}
3 and 3 cancels out

x = 3
anygoal [31]4 years ago
3 0
(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

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vertex form is

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