\(a,x+23=456-326\\ x+23=130\\ x=130-23\\ x=107\\ -----\\ b,\left[{}\begin{matrix}5x-15=0\\x-4=0\end{matrix}\right.=>\left[{}\begin{matrix}x=3\\x=4\end{matrix}\right.\\ -----\\ c,\left(x-1\right)^3=89-62\\ \left(x-1\right)^3=27\\ \left(x-1\right)^3=3^3\\ x-1=3\\ x=4\\ -----\\ d,x^3\left(x^2-4\right)=0\\ x^3\left(x-2\right)\left(x+2\right)=0\\ \left[{}\begin{matrix}x^3=0\\x-2=0\\x+2=0\end{matrix}\right.=>\left[{}\begin{matrix}x=0\\x=2\\x=-2\end{matrix}\right.\)
`a.`\(456-\left(x+23\right)=326\)
`=>x+23=130`
`=>x=107`
`b.(5x-15)(x-4)=0`
\(\Rightarrow\left[{}\begin{matrix}5x-15=0\\x-4=0\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=3\\x=4\end{matrix}\right.\)
`c.89-(x-1)^3=62`
`=>(x-1)^3=27`
`=>(x-1)^3=3^3`
`=>x-1=3`
`=>x=4`
`dx^5-4x^3=0`
`=>x^3(x^2-4)=0`
\(\Rightarrow\left[{}\begin{matrix}x=0\\x^2-4=0\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=0\\x=\pm2\end{matrix}\right.\)
a)
\(\text{456-( x+23)=326}\)
\(x+23=130\)
\(x=107\)
b)
\(\text{( 5.x-15) . (x-4) =0}\)
\(\left\{{}\begin{matrix}5\cdot x-15=0\\x-4=0\end{matrix}\right.< =>\left\{{}\begin{matrix}5x=15\\x=4\end{matrix}\right.< =>\left\{{}\begin{matrix}x=3\\x=4\end{matrix}\right.\)
c)
\(89-\left(x-1\right)^3=62\)
\(\left(x-1\right)^3=27\)
\(=>x-1=3\)
\(x=4\)
d)
\(x^5-4\cdot x^3=0\)
\(x^3\left(x^2-4\right)=0\)
\(=>x^2-4=0\)
\(x^2=4\)
\(=>\left\{{}\begin{matrix}x=2\\x=-2\end{matrix}\right.\)
