Solve the equation.

Question

Solve the equations.

 

1.  4 = ³√2x - 8

 

2.  (x²-1)^2/3 +2 = 6

 

3.  √3x+5 = √4x-2

 

If you could please help me out on these equations I would really appreciate it. Thank you so much. :)

Answer 1

1. 4 = ³√(2x - 8)

     4³ = 2x - 8

     64 = 2x - 8

     72 = 2x

     36 = x

2. (x²-1)^2/3 +2 = 6

     (x²-1)^2/3 = 4

     x² - 1 = 4^3/2

     x² - 1 = 8

     x² = 9

     x = ±3

3. √(3x+5) = √(4x-2)

     3x + 5 = 4x - 2

     7 = x

Answer 2

1- 4 = 3√2x - 8

 3√2x =12

2x=(12)^3=1728

x=1728/2=864

 

2- (x2-1)2/3 +2 = 6

(x2-1)2/3 = 8

x2-1=(8)^3/2=22.6

x2=23.6

x=sqrt(23.6)=4.9

 

3- √3x+5 = √4x-2

 

x(√3- √4)=-7

x=(-7/(√3- √4))