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a) \(15-5\left|x+4\right|=-12-3\)
\(\Leftrightarrow5\left|x+4\right|=30\)
\(\Leftrightarrow\left|x+4\right|=6\)
\(\Leftrightarrow\orbr{\begin{cases}x+4=6\\x+4=-6\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-10\end{cases}}\)
b) \(\left(4x-8\right)\left(7-x\right)=0\Leftrightarrow\orbr{\begin{cases}4x-8=0\\7-x=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2\\x=7\end{cases}}\)
c) \(\left(x^2-36\right)\left(x^2+5\right)=0\Rightarrow\left(x-6\right)\left(x+6\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-6=0\\x+6=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=6\\x=-6\end{cases}}\)
d) \(-3\left(x+7\right)-11=2\left(x+5\right)\)
\(\Leftrightarrow-3x-32=2x+10\)
\(\Leftrightarrow5x=-42\Rightarrow x=-\frac{42}{5}\)
Gọi biểu thức trên là A. Ta có:
A = 2 + ( 2+ 1).4 + ( 4 + 1)6 + … + (98 + 1).100
= 2 + 2.4 + 4 + 4.6 + 6 + … + 98.100 + 100
= (2.4 + 4.6 + … + 98.100 ) + (2 + 4 + 6 + … + 100)
= 98.100.102 : 6 + 102.50:2
= 166600 + 2550
= 169150
Gọi biểu thức trên là A, ta có :
A = 1x2 + 2x3 + 3x4 + 4x5 + ...+ 99x100
A x 3 = 1x2x3 + 2x3x3 + 3x4x3 + 4x5x3 + ... + 99x100x3
A x 3 = 1x2x3 + 2x3x(4-1) + 3x4x(5-2) + 4x5x(6-3) + ... + 99x100x(101-98)
A x 3 = 1x2x3 + 2x3x4 - 1x2x3 + 3x4x5 - 2x3x4 + 4x5x6 - 3x4x5 + ... + 99x100x101 - 98x99x100.
A x 3 = 99x100x101
A = 99x100x101 : 3
A = 333300
\(1) 420+65.4=(x+175):5+30\)
\(\implies 420+260=(x+175):5+30\)
\(\implies 680=(x+175):5+30\)
\(\implies 650=(x+175):5\)
\(\implies 650.5-175=x\)
\(\implies 3075=x\)
\(2)x-4867=(175.2050.70):25+23\)
\(\implies x-4867=1004500+23\)
\(\implies x-4867=1004523\)
\(\implies x=1009390\)
\(3) 134-[(96-7x):4-2]=126\)
\(\implies (96-7x):4-2=8\)
\(\implies(96-7x):4=10\)
\(\implies 96-7x=40\)
\(\implies 7x=56\)
\(\implies x=8\)
\(4) 4-\{100-[(100-5x):8-5]:10\}:25=0\)
\(\implies 4-\{100-[(100-5x):8-5]:10\}=0\)
\(\implies 100-[(100-5x):8-5]:10=4\)
\(\implies 100-[(100-5x):8-5]=40\)
\(\implies (100-5x):8-5=60\)
\(\implies (100-5x):8=65\)
\(\implies 100-5x=520\)
\(\implies 5x=-420\)
\(\implies x=-84\)
~ Hok tốt a~
\(a,\left(x-12\right)\times1000=0\)
\(x-12=0\)
\(x=0+12\)
\(x=12\)
\(b,\left(23-x\right)\times34=34\)
\(23-x=34:34\)
\(23-x=1\)
\(x=23-1\)
\(x=22\)
\(c,\left(x-5\right)\times6=24\)
\(x-5=24:6\)
\(x-5=4\)
\(x=4+5\)
\(x=9\)
\(d,2x+3=15\)
\(2x=15-3\)
\(2x=12\)
\(x=12:2\)
\(x=6\)
\(e,6\left(7x+1\right)=48\)
\(7x+1=48:6\)
\(7x+1=8\)
\(7x=7\)
\(x=1\)
\(g,\left(x-6\right)\left(x-34\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-6=0\\x-34=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=6\\x=34\end{cases}}\)
\(h,\left(x-4\right)\left(x+2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-4=0\\x+2=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=4\\x=-2\end{cases}}\)
Bài làm
a) \(\left(x-12\right).1000=0\)
Vì 1000 > 0 \(\Rightarrow x-12=0\Rightarrow x=12\)
b) \(\left(23-x\right).34=34\)
\(\Rightarrow23-x=1\Rightarrow x=22\)
c) \(\left(x-5\right).6=24\Rightarrow x-5=4\Rightarrow x=9\)
d) \(2x+3=15\Rightarrow2x=12\Rightarrow x=6\)
e) \(6\left(7x+1\right)=48\Rightarrow7x+1=8\)
\(\Rightarrow7x=7\Rightarrow x=1\)
g) \(\left(x-6\right).\left(x-34\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-6=0\\x-34=0\end{cases}\Rightarrow\orbr{\begin{cases}x=6\\x=34\end{cases}}}\)
Vậy x= 6 hoặc x= 34
h)\(\left(x-4\right).\left(x+2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-4=0\\x+2=0\end{cases}\Rightarrow\orbr{\begin{cases}x=4\\x=-2\end{cases}}}\)
Vậy x=4 hoặc x= -2
i) \(x\left(x+1\right).\left(x+2\right)=3\)
..........
Cậu có thể tam khảo bài làm trên đây ạ, học tốt nha ^^
1.53x201=10653
2.
a)4 xX-15x4=6x15+X
<=>4x-60=90+x
<=>4x-x=60+90
<=>3x=150
<=>x=50
b(102+28-2x):20-5=1
<=>(130-2x):20=6
<=>130-2x=120
<=>2x=10
<=>x=5
c)1999x-x=1999+1997+1999
<=>1998x=5995
<=>\(x\approx3\)
d)105-5x=150:15
<=>105-5x=10
<=>5x=95
<=>x=19
e)(x+1)+(x+2)+(x+3)+...+(x+6)=78
<=>6x+21=78
<=>6x=57
<=>x=9,5
1) 53x201=53x200+53=10600+53=10653
2a)
4x-15x4=6x15+x
4x-60=90+x
4x-x=90+60
3x=150
x=50
b) x=5
c) x=3
d)x=19
e) x=9,5
a. \(x+\frac{x}{3}\cdot15=\frac{424}{4}+\frac{102}{6}\)
\(x+5x=106+17\)
\(x\left(1+5\right)=123\)
\(6x=123\)
\(x=\frac{123}{6}=\frac{41}{2}\)
b. \(100-x+\frac{5\cdot2}{2}-0=0\)
\(100-x+5=0\)
\(105-x=0\)
\(x=105-0=105\)