\(b,\left(x+5\right)^2=100\)
TH1:\(\left(x+5\right)^2=10^2\)
\(\Rightarrow x+5=10\\ \Rightarrow x=10-5\\ \Rightarrow x=5\)
TH2:\(\left(x+5\right)^2=\left(-10\right)^2\)
\(\Rightarrow x+5=-10\\ \Rightarrow x=-10-5\\ \Rightarrow x=-15\)
\(c,\left(2x-4\right)^2=0\\ \Rightarrow2x-4=0\\ \Rightarrow2x=0+4\\ \Rightarrow x=2:2\\ \Rightarrow x=1\)
\(d,\left(x-1\right)^3=-27\\ \Rightarrow\left(x-1\right)^3=\left(-3\right)^3\\ \Rightarrow x-1=-3\\ \Rightarrow x=-3+1\\ \Rightarrow x=-2\)
b) (x+5)2=100
(x+5)2=102
x+5=10
x=10-5
x=5
c) (2x-4)2=0
2x-4=0
2x=4
x=4:2
x=\(\pm\)2
d)(x-1)3=-27
(x-1)3=-33
x-1=-3
x=-3+1
x=-2