(x+3) ^(2/3) = 8
2007-08-11 01:02:22 · 4 answers · asked by Anonymous in Education & Reference ➔ Homework Help
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.
2007-08-11 01:10:48 · answer #1 · answered by jemhasb 7 · 1⤊ 0⤋
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.
2007-08-11 06:46:18 · answer #2 · answered by Marley K 7 · 0⤊ 0⤋
(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.
2007-08-11 01:27:41 · answer #3 · answered by fcas80 7 · 0⤊ 0⤋
umm i'm not sure. that didn't make any sense
2007-08-11 13:16:24 · answer #4 · answered by ♥.blondy4eva 7 · 0⤊ 0⤋