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\(x^4-x=0\)
\(x\left(x^3-1\right)=0\)
\(\Rightarrow\text{ }\orbr{\begin{cases}x=0\\x^3-1=0\end{cases}}\) \(\Rightarrow\orbr{\begin{cases}x=0\\x^3=1\end{cases}}\) \(\Rightarrow\orbr{\begin{cases}x=0\\x=1\end{cases}}\)
\(\Rightarrow\text{ }x\in\left\{0\text{ ; }1\right\}\)
a) \(\text{2(x-51)=2.2^2+20}\)
\(2\left(x-51\right)=2.4+20\)
\(2\left(x-51\right)=28\)
\(x-51=28\div2\)
\(x-51=14\)
\(x=14+51\)
\(\text{b)3.(x+1)-26=541}\)
\(3.\left(x+1\right)=541+26\)
\(3\cdot\left(x+1\right)=567\)
\(x+1=567\div3\)
\(x+1=189\)
\(x=189-1\)
\(x=188\)
\(x=65\)
\(\text{c)4(x-3)=7^2-1^10}\)
\(4\left(x-3\right)=49-1\)
\(4\left(x-3\right)=48\)
\(x-3=48\div4\)
\(x-3=12\)
\(x=12+3\)
\(x=15\)
\(\text{e)2x-138=2^3.3^2}\)
\(2x-138=8\cdot9\)
\(2x-138=72\)
\(2x=72+138\)
\(2x=210\)
\(x=210\div2\)
\(x=105\)
\(\text{f)(x-1)^4=16}\)
\(\left(x-1\right)^4=2^4\)
\(x-1=2\)
\(x=2+1\)
\(x=3\)
x(24-32)=145-5
\(\Leftrightarrow\)7x=140
\(\Leftrightarrow\)x=20
5(x+35)-200=288-93
\(\Leftrightarrow\)5(x+35)=288+200-93=395
\(\Leftrightarrow\)x+35=79
\(\Leftrightarrow\)x=44
a, Lời giải
\(x\left(2^4-3^2\right)=145-5\)
\(\Leftrightarrow7x=140\)
\(\Leftrightarrow x=140:7\)
\(\Rightarrow x=20\)
b, Lời giải
\(5\left(x+35\right)-200=288-93\)
\(\Leftrightarrow5\left(x+35\right)=395\)
\(\Leftrightarrow x+35=395:5\)
\(\Leftrightarrow x+35=79\)
\(\Leftrightarrow x=79-35\)
\(\Rightarrow x=44\)