求等式-100(x-1)²=（-4）³ 中x的值

求等式-100(x-1)²=（-4）³ 中x的值
求等式-100(x-1)²=（-4）³ 中x的值

求等式-100(x-1)²=（-4）³ 中x的值

    -100(x-1)^2=(-4)^3

-100(x-1)^2=-64

            (x-1)^2=0.64

            ±( x-1)=sqrt(0.64)

            ±( x-1)=0.8

                x=1.8或x=0.2

• -100x+100=-64

-100x=-64-100

         =-164

x=-164/-100

   =1.64

解方程 -100(x-1)²=(-4)³
由原式得100(x-1)²=4³=64，故(x-1)²=64/100，x-1=±(8/10)=±(4/5)
于是得x₁=1+(4/5)=9/5；x₂=1-4/5=1/5.

-100(x-1)^2=(-4)^3
(x-1)^2=4^3/100=(2^2)^3/100=(2^3)^2/10^2=[2^3/10]^2=[8/10]^2=[4/5]^2
x-1=4/5 或 x-1=-4/5
x=9/5 或 x=1/5

9-5x=0或5x-1=0 x=9/5或x=1/5

-100(x-1)²=（-4）³
-100(x-1)²=-64
(x-1)²=0.64
x-1=正负0.8
X1=1.8 X2=0.2