tìm x
a]1+3+5+........+x=36
b]12x+13x+2000
c](x-1).(x-5)=0
ghi cách giải
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1/
a/ \(D=2x\left(10x^2-5x-2\right)-5x\left(4x^2-2x-1\right)\)
\(D=2x\left[10\left(x^2-\frac{1}{2}x-\frac{1}{5}\right)\right]-5x\left[4\left(x^2-\frac{1}{2}x-\frac{1}{4}\right)\right]\)
\(D=20x\left(x^2-\frac{1}{2}x-\frac{1}{5}\right)-20x\left(x^2-\frac{1}{2}x-\frac{1}{4}\right)\)
\(D=20x^3-10x^2-4x-20x^3+10x^2+5x\)
\(D=x\)
b/ Mình xin sửa lại đề:
Tính giá trị biểu thức \(E\left(x\right)=x^5-13x^4+13x^3-13x^2+13x+2012\)
Tại x = 12
\(E\left(x\right)=x^5-\left(x+1\right)x^4+\left(x+1\right)x^3-\left(x+1\right)x^2+\left(x-1\right)x+2012\)
\(E\left(x\right)=x^5-x^5-x^4+x^4+x^3-x^3-x^2+x^2-x+2012\)
\(E\left(x\right)=2012-x\)
\(E\left(x\right)=2000\)
2/
a/ \(2x\left(x-5\right)-x\left(3+2x\right)=26\)
<=> \(2x^2-10x-3x-2x^2=26\)
<=> \(-13x=26\)
<=> \(x=-2\)
b/ Bạn vui lòng coi lại đề.
3a/ Ta có \(D=x\left(5x-3\right)-x^2\left(x-1\right)+x\left(x^2-6x\right)-10+3x\)
\(D=5x^2-3x-x^3+x^2+x^3-6x^2-10+3x\)
\(D=-10\)
Vậy giá trị của D không phụ thuộc vào x (đpcm)
b: \(\Leftrightarrow48x^2-12x-20x+5-48x^2+36x=30\)
\(\Leftrightarrow4x=25\)
hay \(x=\dfrac{25}{4}\)
b) 5x(x-2000)-x+2000=0
\(\Rightarrow5x\left(x-2000\right)-\left(x-2000\right)=0\\ \Rightarrow\left(x-2000\right)\left(5x-1\right)=0\)
\(\Rightarrow\left\{{}\begin{matrix}x-2000=0\\5x-1=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0+2000\\5x=0+1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=2000\\5x=1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=2000\\x=\dfrac{1}{5}\end{matrix}\right.\)
b) \(-x^2-12x+21=\left(3-x\right)\left(x+11\right).\)
\(\Leftrightarrow-x^2-12x+21=-x^2-8x+33\)
\(\Leftrightarrow33+4x=21\)
\(\Leftrightarrow-4x=12\)
\(\Rightarrow x=-3\)
c,\(9x+5x^2+1=5x^2-22+13x\)
\(\Leftrightarrow4x-22=1\)
\(\Leftrightarrow4x=23\)
\(\Rightarrow x=\frac{23}{4}\)
Mk làm mẫu cho 1 pt nha !
a,
pt <=> 4x^2-7x+5 = 2x^2-5x-18
<=> (4x^2-7x+5)-(2x^2-5x-18) = 0
<=> 4x^2-7x+5-2x^2+5x+18 = 0
<=> 2x^2-2x+23 = 0
<=> x^2-x+23/2 = 0
<=> (x^2-x+1/4)+45/4 = 0
<=> (x-1/2)^2+45/4 = 0
=> pt vô nghiệm [ vì (x-1/2)^2+45/4 > 0 ]
P/S: Tham khảo nha
\(a,\Rightarrow12x-91=101\\ \Rightarrow12x=192\\ \Rightarrow x=16\\ b,\Rightarrow x:23+45=133\\ \Rightarrow x:23=88\\ \Rightarrow x=\dfrac{88}{23}\\ c,\Rightarrow\left(6x-39\right):7=3\\ \Rightarrow6x-39=21\\ \Rightarrow6x=60\\ \Rightarrow x=10\\ d,\Rightarrow3x-24=\dfrac{148}{73}\\ \Rightarrow3x=\dfrac{1900}{73}\\ \Rightarrow x=\dfrac{1900}{219}\\ e,\Rightarrow\left[{}\begin{matrix}x=0\\x=10\end{matrix}\right.\\ f,\Rightarrow\left[{}\begin{matrix}x=-1\\x=2\end{matrix}\right.\\ d,\left(9-x\right)^3=64=4^3\\ \Rightarrow9-x=4\\ \Rightarrow x=5\\ h,\Rightarrow x=27\\ i,\Rightarrow6x=312\cdot12=624\cdot6\\ \Rightarrow x=624\\ j,\Rightarrow\left(19x+104\right):14=25-42=-17\\ \Rightarrow19x+104=-238\\ \Rightarrow19x=-342\\ \Rightarrow x=-18\)
a) 6x(5x + 3) + 3x(1 – 10x) = 7
⇒ 30x2+18x+3x-30x2=7
⇒21x=7
⇒x=\(\dfrac{7}{21}\)
⇒x= \(\dfrac{1}{3}\)
b) (3x – 3)(5 – 21x) + (7x + 4)(9x – 5) = 44
⇒15x-63x2-15+63x + 63x2-35x+36x-20=44
⇒79x-35=44
⇒79x=44+35
⇒79x=79
⇒x=1
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
a)
\(\frac{x\left(x+1\right)}{2}=36\)(quy tắc tính tổng)
=>\(x\left(x+1\right)=72\)
=>\(x\left(x+1\right)=8.9\)
=>x=8
b)\(12x+13x=2000\Rightarrow\left(12+13\right)x=2000\Rightarrow25x=2000\Rightarrow x=80\)
c)
(x-1)(x-5)=0
\(\Rightarrow\orbr{\begin{cases}x-1=0\\x-5=0\end{cases}\Rightarrow\orbr{\begin{cases}x=1\\x=5\end{cases}}}\)
cái ngoặc vuông là "hoặc " nhé
a ) x= 11
c)x = 1 hoặc x = 5