Tìm x ϵ N biết:b) 35 - 5 (x - 1) = 10 c) 24. (x - 16) = 122 d) (x2 - 10) : 5 = 3
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\(a)24\times(x-16)=12^2\\\Rightarrow 24\times(x-16)=144\\\Rightarrow x-16=144:24\\\Rightarrow x-16=6\\\Rightarrow x=6+16\\\Rightarrow x=22\\---\\b)(x^2-10):5=5\\\Rightarrow x^2-10=5\times5\\\Rightarrow x^2-10=25\\\Rightarrow x^2=25+10\\\Rightarrow x^2=35\\\Rightarrow x=\pm\sqrt{35}\\---\)
\(c)(5x+335):2=400\\\Rightarrow 5x+335=400\times2\\\Rightarrow 5x+335=800\\\Rightarrow 5x=800-335\\\Rightarrow 5x=465\\\Rightarrow x=465:5\\\Rightarrow x=93\\---\\d)63:(5x+4)=2^3-1\\\Rightarrow 63:(5x+4)=8-1\\\Rightarrow 63:(5x+4)=7\\\Rightarrow 5x+4=63:7\\\Rightarrow 5x+4=9\\\Rightarrow 5x=9-4\\\Rightarrow 5x=5\\\Rightarrow x=5:5\)
\(\Rightarrow x=1\)
\(Toru\)
Tìm xx biết: \left(x^{4}\right)^{3}=\dfrac{x^{19}}{x^{6}}(x4)3=x6x19
Trả lời: x=x=
Bài 6. Tìm x ϵ N biết
a) (x –15) .15 = 0
b) 32 (x –10 ) = 32
c) ( x – 5)(x – 7) = 0
d) (x – 35).35 = 35
a: x⋮5
=>x∈{0;5;10;15;20;25;30;35;40;45;...}
mà 20<x<40
nên x∈{25;30;35}
b: 30⋮x
=>x∈{1;2;3;5;6;10;15;30}
mà x<10
nên x∈{1;2;3;5;6}
c: Ta có: \(10=2\cdot5;12=2^2\cdot3;15=3\cdot5\)
=>BCNN(10;12;15)\(=2^2\cdot3\cdot5=60\)
x⋮10; x⋮12; x⋮15
=>x∈BC(10;12;15)
=>x∈B(60)
mà 0<x<150
nên x∈{60;120}
d: \(24=2^3\cdot3;30=2\cdot3\cdot5;36=2^2\cdot3^2\)
=>ƯCLN(24;30;36)\(=2\cdot3=6\)
24⋮x; 30⋮x; 36⋮x
=>x∈ƯC(24;30;36)
=>x∈Ư(6)
mà x lớn nhất
nên x=6
e: \(5=5;6=2\cdot3;7=7\)
=>BCNN(5;6;7)\(=5\cdot2\cdot3\cdot7=10\cdot21=210\)
x∈BC(5;6;7)
mà x là số nhỏ nhất khác 0
nên x=BCNN(5;6;7)=210
f: \(20=2^2\cdot5;25=5^2;30=2\cdot3\cdot5\)
=>ƯCLN(20;25;30)=5
x∈ƯC(20;25;30)
=>x∈Ư(5)
mà x>=5
nên x=5
Bài 6:
a)(x-15).15=0
⇔x-15=0
⇔x=15
b)32(x-10)=32
⇔x-10=1
⇔x=11
c)(x-5)(x-7)=0
⇔x-5=0 hay x-7=0
⇔x=5 hay x=7
d)(x-35)35=35
⇔x-35=1
⇔x=36
a: \(\left(x-15\right)\cdot15=0\)
=>x-15=0
=>x=0+15
=>x=15
b: 32(x-10)=32
=>x-10=32/32=1
=>x=1+10=11
c: (x-5)(x-7)=0
=>\(\left[\begin{array}{l}x-5=0\\ x-7=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=5\\ x=7\end{array}\right.\)
d: \(\left(x-35\right)\cdot35=35\)
=>\(x-35=\frac{35}{35}=1\)
=>x=1+35
=>x=36
\(35-5\left(x-1\right)=10\\ \Leftrightarrow35-5x+5=10\\ \Rightarrow40-5x=10\)
\(\Rightarrow-5x=10-40\\ \Rightarrow-5x=-30\\ \Rightarrow x=\dfrac{-30}{-5}=6\)
c)
\(24\left(x-16\right)=12^2\)
\(\Rightarrow24x-384=144\\ \Rightarrow24x=144+384\\ \Rightarrow24x=528\\ \Rightarrow x=\dfrac{528}{24}=22\)
d)
\(\left(x^2-10\right)\div5=3\\ \Rightarrow\left(x^2-10\right)=3\times5\\ \Rightarrow x^2-10=15\)
\(\Rightarrow x^2=15+10\\ \Rightarrow x^2=25\\ \Rightarrow x^2=5^2\Rightarrow x=5\)
Ơ, bn ơi @Kenny sai sai ở đâu thì phải.