A few days ago
Anonymous

Algebra problem?

(x+3) ^(2/3) = 8

Top 4 Answers
A few days ago
jemhasb

Favorite Answer

as 2^(2/3) = 8

x + 3 = 4

x = 1

power of 2/3 means the cube root squared.

The cube root of 8 is 2

2 squared is 4

Hope that makes sense.

1

A few days ago
Marley K
To solve for x, first eliminate the exponent by taking both sides to the 3/2 power. Now you have,

x+3 = 8^(3/2). Next subtract 3 from both sides.

x = 8^(3/2) -3

You can put that into a calculator for an approximate answer of 19.6. Or you can simplify the radical to get 16(sq rt 2) – 3.

0

A few days ago
fcas80
(x+3) ^(2/3) = 8

(x+3) ^[(2/3)(3/2)] = 8^(3/2)

(x+3) = (8*8*8)^(1/2) = 512^(1/2) = (256*2)^(1/2) = 16*(2^(1/2))

(x+3) = 16*(2^(1/2))

x = 16*(2^(1/2)) – 3

Note that x=1 does not satisfy the original equation.

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A few days ago
♥.blondy4eva
umm i’m not sure. that didn’t make any sense
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