Question

（1）(x-1)^2-324=0 （2）125-8x^3=0 (3) 64(x-3)^2-9=0 (4) (4x-1)^2=225 (5)1/2(x-1)^3+8=0

(6)125(x-2)^3=-343

Answer 1

（1）(x-1)^2-324=0
(x-1)²=324
x-1=±18
x=19 或 x=-17
（2）125-8x^3=0
x^3=125/8
x=5/2
(3) 64(x-3)^2-9=0
(x-3)²=9/64
x-3=±3/8
x=27/8 或 x=21/8
(4) (4x-1)^2=225
4x-1=±15
x=4 或 x= -7/2
(5)1/2(x-1)^3+8=0
?

125(x-2)^3=-343
(x-2)^3=-343/125
x-2=-7/5
x= 3/5

Answer 2

(1)(x-1)^2-324=0
(x-1)^2=324
x-1=±18
x1=-17 x2=19

(2)125-8x^3=0
8x^3=125
2x=5
x=5/2

(3) 64(x-3)^2-9=0
64(x-3)^2=9
8(x-3)=±3
x-3=±3/8
x=3±3/8
x1=27/8 x2=24/8

(4) (4x-1)^2=225
4x-1=±25
x=(1±25)/4
x1=13/2 x2=-12

(5)1/2(x-1)^3+8=0
(x-1)^3=-16
x-1=-16^(1/3)
x=1-16^(1/3)

(6)125(x-2)^3=-343
5(x-2)=-7
x-2=-7/5
x=3/5