求等式-100(x-1)²=(-4)³ 中x的值
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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