lisapressley2001
lisapressley2001 lisapressley2001
  • 04-01-2017
  • Mathematics
contestada

8. Solve the equation. (X+3)^3/2-11=53
A. -19
B. -16,16
C. 13
D. 19,13

Respuesta :

fencingparry4
fencingparry4 fencingparry4
  • 04-01-2017
The answer is C. 13

My nspire said so 
Answer Link
olemakpadu
olemakpadu olemakpadu
  • 04-01-2017
(x +3)^(3/2)   - 11 = 53

(x +3)^(3/2)  = 53 + 11

(x +3)^(3/2)  = 64

Raise each side of the equation to power (2/3)

(x +3)^(3/2)^(2/3)  = 64^(2/3)

(x +3)^(3/2 * 2/3)  = 64^(2/3)

(x +3)^(1)  = (∛64)^(2).        Cube root of 64 = 4.

(x + 3) = 4^2

x +3 = 16

x = 16 - 3

x = 13

option c.

Hope this helps.
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