8x-4x =1208
(2*x-3) *3 =21
720/ 41 (2*x-5 )] =8*5
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1) 2x - 378 = 122
=> 2x = 122 + 378
=> 2x = 500
=> x = 500 : 2
=> x = 250
2) 8x - 4x = 1208
=> 4x = 1208
=> x = 1208 : 4
=> x = 302
3) x - 382 = 159 : 3
=> x - 382 = 53
=> x = 53 + 382
=> x = 435
4) 3x + 30 = 420
=> 3x = 420 - 30
=> 3x = 390
=> x = 390 : 3
=> x = 130
5) 12x - 13x - 500 = 1500
=> -x = 1500 + 500
=> -x = 2000
=> x = -2000
1,\(2x-378=122\)
\(2x=122+378\)
\(2x=500\)
\(x=500:2\)
\(x=250\)
2,\(8x-4x=1208\)
\(x.\left(8-4\right)=1208\)
\(x.4=1208\)
\(x=1208:4\)
\(x=302\)
3,\(x-382=159:3\)
\(x-382=53\)
\(x=52+382\)
\(x=434\)
4,\(3x+30=420\)
\(3x=420-30\)
\(3x=390\)
\(x=390:3\)
\(x=130\)
5,\(12x-13x-500=1500\)
như câu 2
\(\left(x-5\right).4=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-5=0\\4=0\left(ktm\right)\end{cases}\Leftrightarrow\orbr{\begin{cases}x=5\\4=0\left(ktm\right)\end{cases}}}\)
vậy x=5
\(8x-4x=1208\)
\(x\left(8-4\right)=1208\)
\(x4=1208\)
\(\Rightarrow x=1208:4=302\)
\(\left(x-4\right)\left(x-3\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-4=0\\x-3=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=4\\x=3\end{cases}}}\)
vậy x=4 hoặc x=3
1.
\(G=\dfrac{2}{x^2+8}\le\dfrac{2}{8}=\dfrac{1}{4}\)
\(G_{max}=\dfrac{1}{4}\) khi \(x=0\)
\(H=\dfrac{-3}{x^2-5x+1}\) biểu thức này ko có min max
2.
\(D=\dfrac{2x^2-16x+41}{x^2-8x+22}=\dfrac{2\left(x^2-8x+22\right)-3}{x^2-8x+22}=2-\dfrac{3}{\left(x-4\right)^2+6}\ge2-\dfrac{3}{6}=\dfrac{3}{2}\)
\(D_{min}=\dfrac{3}{2}\) khi \(x=4\)
\(E=\dfrac{4x^4-x^2-1}{\left(x^2+1\right)^2}=\dfrac{-\left(x^4+2x^2+1\right)+5x^4+x^2}{\left(x^2+1\right)^2}=-1+\dfrac{5x^4+x^2}{\left(x^2+1\right)^2}\ge-1\)
\(E_{min}=-1\) khi \(x=0\)
\(G=\dfrac{3\left(x^2-4x+5\right)-5}{x^2-4x+5}=3-\dfrac{5}{\left(x-2\right)^2+1}\ge3-\dfrac{5}{1}=-2\)
\(G_{min}=-2\) khi \(x=2\)
a)2x + 15 = 27
2x = 12
x = 6
b.1)8x - 4x = 1208
4x = 1208
x = 302
b.2)a : 3 = 10
=> a = 10 x 3
=> a = 30
một đòn bẫy dài một mét .đặt ở đâu để có thể dùng 3600n có thể nâng tảng đá nặng 120kg?
1.
\(x^4-6x^2-12x-8=0\)
\(\Leftrightarrow x^4-2x^2+1-4x^2-12x-9=0\)
\(\Leftrightarrow\left(x^2-1\right)^2=\left(2x+3\right)^2\)
\(\Leftrightarrow\left[{}\begin{matrix}x^2-1=2x+3\\x^2-1=-2x-3\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x^2-2x-4=0\\x^2+2x+2=0\end{matrix}\right.\)
\(\Leftrightarrow x=1\pm\sqrt{5}\)
3.
ĐK: \(x\ge-9\)
\(x^4-x^3-8x^2+9x-9+\left(x^2-x+1\right)\sqrt{x+9}=0\)
\(\Leftrightarrow\left(x^2-x+1\right)\left(\sqrt{x+9}+x^2-9\right)=0\)
\(\Leftrightarrow\sqrt{x+9}+x^2-9=0\left(1\right)\)
Đặt \(\sqrt{x+9}=t\left(t\ge0\right)\Rightarrow9=t^2-x\)
\(\left(1\right)\Leftrightarrow t+x^2+x-t^2=0\)
\(\Leftrightarrow\left(x+t\right)\left(x-t+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-t\\x=t-1\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-\sqrt{x+9}\\x=\sqrt{x+9}-1\end{matrix}\right.\)
\(\Leftrightarrow...\)
A. \(\left(x+2\right)\left(x+3\right)-\left(x-2\right)\left(x+5\right)=0\)
\(\Leftrightarrow\left(x^2+3x+2x+6\right)-\left(x^2+5x-2x-10\right)=0\)
\(\Leftrightarrow x^2+3x+2x+6-x^2-5x+2x+10=0\)
\(\Leftrightarrow x^2+3x+2x-x^2-5x+2x=-6-10\)
\(\Leftrightarrow2x=-16\)
\(\Leftrightarrow x=-8\) .Vậy \(S=\left\{-8\right\}\)
B. \(\left(2x+3\right)\left(x-4\right)+\left(x-5\right)\left(x-2\right)=\left(3x+5\right)\left(x-4\right)\)
\(\Leftrightarrow2x^2-8x+3x-12+x^2-2x-5x+10=3x^2-12x+5x-20\)
\(\Leftrightarrow2x^2-8x+3x+x^2-2x-5x-3x^2+12x-5x=12-10-20\)
\(\Leftrightarrow-5x=-18\)
\(\Leftrightarrow x=\dfrac{18}{5}\) . Vậy \(S=\left\{\dfrac{18}{5}\right\}\)
C. \(\left(8-4x\right)\left(x+2\right)+4\left(x-2\right)\left(x+1\right)=0\)
\(\Leftrightarrow8x+16-4x^2-8x+4\left(x^2+x-2x-2\right)=0\)
\(\Leftrightarrow8x+16-4x^2-8x+4x^2+4x-8x-8=0\)
\(\Leftrightarrow8x-4x^2-8x+4x^2+4x-8x=-16+8\)
\(\Leftrightarrow-4x=-8\)
\(\Leftrightarrow x=2\) . Vậy \(S=\left\{2\right\}\)
D. \(\left(2x-3\right)\left(8x+2\right)=\left(4x+1\right)\left(4x-1\right)-3\)
\(\Leftrightarrow16x^2+4x-24x-6=16x^2+1^2-3\)
\(\Leftrightarrow16x^2+4x-24x-16x^2=6+1-3\)
\(\Leftrightarrow-20x=4\)
\(\Leftrightarrow x=-\dfrac{1}{5}\) . Vậy \(S=\left\{-\dfrac{1}{5}\right\}\)
a)(x+2)(x+3)-(x-2)(x+5)=0
\(\Leftrightarrow x^2+3x+2x+6-x^2-5x+2x+10=0\)
<=>2x=-16
<=>x=-8
b)(2x+3)(x-4)+(x-5)(x-2)=(3x-5)(x-4)
\(\Leftrightarrow2x^2-8x+3x-12+x^2-2x-5x+10=3x^2-12x-5x+20\)
\(\Leftrightarrow3x^2-12x-2=3x^2-17x+20\)
\(\Leftrightarrow5x=22\Leftrightarrow x=\dfrac{22}{5}\)
c)(8-4x)(x+2)+4(x-2)(x+1)=0
\(\Leftrightarrow8x+16-4x^2-8x+4x^2+4x-8x-8=0\)
\(\Leftrightarrow-4x=-8\Leftrightarrow x=2\)
d)(2x-3)(8x+2)=(4x+1)(4x-1)-3
\(\Leftrightarrow16x^2+4x-24x-6=16x^2-4x+4x-1-3\)
\(\Leftrightarrow-20x=-2\Leftrightarrow x=\dfrac{-1}{10}\)
a) Ta có: \(\dfrac{1}{x+3}+\dfrac{8-x}{4x^2+8x}\)
\(=\dfrac{1}{x+3}+\dfrac{8-x}{4x\left(x+2\right)}\)
\(=\dfrac{4x\left(x+2\right)}{4x\left(x+3\right)\left(x+2\right)}+\dfrac{\left(8-x\right)\left(x+3\right)}{4x\left(x+3\right)\left(x+2\right)}\)
\(=\dfrac{4x^2+8x+8x+24-x^2-3x}{4x\left(x+3\right)\left(x+2\right)}\)
\(=\dfrac{3x^2+13x+24}{4x\left(x+3\right)\left(x+2\right)}\)
b) Ta có: \(\dfrac{3-2x}{\left(x-5\right)\left(x+2\right)}+\dfrac{1}{x+5}\)
\(=\dfrac{\left(3-2x\right)\left(x+5\right)}{\left(x-5\right)\left(x+5\right)\left(x+2\right)}+\dfrac{\left(x-5\right)\left(x+2\right)}{\left(x+5\right)\left(x-5\right)\left(x+2\right)}\)
\(=\dfrac{3x+15-2x^2-10x+x^2+2x-5x-10}{\left(x+5\right)\left(x-5\right)\left(x+2\right)}\)
\(=\dfrac{-x^2-10x+5}{\left(x+5\right)\left(x-5\right)\left(x+2\right)}\)
8x - 4x = 1208
=> 4x = 1208
=> x = 302
(2x - 3)*3 = 21
=> 2x - 3 = 7
=> 2x = 10
=> x = 5
720/41*(2x - 5) = 8*5
=> 720/41(2x - 5) = 40
=> 42(2x - 5) = 18
=> 2x - 5 = 7/3
=> 2x = 22/3
=> x = 11/3
Bài làm
a) 8x - 4x = 1208
x( 8 - 4 ) = 1208
x . 4 = 1208
x = 302.
Vậy x = 302.
b) ( 2. x - 3 ) . 3 = 21
2x - 3 = 7
2x = 4
x = 2
Vậy x = 2.
c) Không hiểu đề bài lắm.
# Học tốt #