a) \(\left(5+x\right)^3=-27\)
\(\Rightarrow\left(5+x\right)^3=\left(-3\right)^3\)
\(\Rightarrow5+x=-3\)
\(\Rightarrow x=-8\)
b) \(\left(1-x\right)^2=\dfrac{1}{9}\)
\(\Rightarrow\left(1-x\right)^2=\left(\dfrac{1}{3}\right)^2\)
\(\Rightarrow\left[{}\begin{matrix}1-x=\dfrac{1}{3}\\1-x=-\dfrac{1}{3}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{2}{3}\\x=\dfrac{4}{3}\end{matrix}\right.\)
c) \(5^{3+x}=125\)
\(\Rightarrow5^{3+x}=5^3\)
\(\Rightarrow3+x=3\)
\(\Rightarrow x=3-3\)
\(\Rightarrow x=0\)
a) (5+x)^3=(-3)^3
5+x=-3
x=-3-5
x=-8
b)(1-x)^2=1/9
(1-x)^2=(1/3)^2
1-x=1/3
x=1-1-/3
x=2/3
c)5^3+x=125
5^3+x=5^3
3+x=3
x=0
