tìm x
5x-2 + 50 = 126
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N
10 tháng 10 2021
\(a.\left(x^2+4x+4\right)+\left(x^2-6x+9\right)=2x^2+14x\)
\(x^2+4x+4+x^2-6x+9-2x^2-14x=0\)
\(-18x+13=0\)
\(x=\dfrac{13}{18}\)
Vậy \(S=\left\{\dfrac{13}{18}\right\}\)
\(b.\left(x-1\right)^3-125=0\)
\(\left(x-1\right)^3=125\)
\(x-1=5\)
\(x=6\)
Vậy \(S=\left\{6\right\}\)
\(c.\left(x-1\right)^2+\left(y +2\right)^2=0\)
\(Do\left(x-1\right)^2\ge0\forall x;\left(y+2\right)^2\ge0\forall y\)
\(\Rightarrow\left(x-1\right)^2+\left(y+2\right)^2\ge0\forall x,y\)
Mà \(\left(x-1\right)^2+\left(y+2\right)^2=0\)
\(\Rightarrow\left[{}\begin{matrix}\left(x-1\right)^2=0\\\left(y+2\right)^2=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=0\\y+2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\y=-2\end{matrix}\right.\)
Vậy \(S=\left\{1;-2\right\}\)
\(d.x^2-4x+4+x^2-2xy+y^2=0\)
\(\left(x-2\right)^2+\left(x-y\right)^2=0\)
\(\Rightarrow\left[{}\begin{matrix}\left(x-2\right)^2=0\\\left(x-y\right)^2=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x-2=0\\x-y=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\y=2\end{matrix}\right.\)
Vậy \(S=\left\{2;2\right\}\)
AN
2
25 tháng 5 2018
\(\frac{x+1}{125}+\frac{x+2}{124}+\frac{x+3}{123}+\frac{x+4}{122}+\frac{x+146}{5}=0\)
\(\left(\frac{x+1}{125}+1\right)+\left(\frac{x+2}{124}+1\right)+\left(\frac{x+3}{123}+1\right)+\left(\frac{x+4}{122}+1\right)+\left(\frac{x+146}{5}-4\right)=0\)
\(\frac{x+126}{125}+\frac{x+126}{124}+\frac{x+126}{123}+\frac{x+126}{122}+\frac{x+126}{5}=0\)
\(\left(x+126\right).\left(\frac{1}{125}+\frac{1}{124}+\frac{1}{123}+\frac{1}{122}+\frac{1}{5}\right)=0\)
vì \(\left(\frac{1}{125}+\frac{1}{124}+\frac{1}{123}+\frac{1}{122}+\frac{1}{5}\right)\ne0\)nên x + 126 = 0 \(\Rightarrow\)x = -126
11 tháng 8 2018
\(1) 420+65.4=(x+175):5+30\)
\(\implies 420+260=(x+175):5+30\)
\(\implies 680=(x+175):5+30\)
\(\implies 650=(x+175):5\)
\(\implies 650.5-175=x\)
\(\implies 3075=x\)
\(2)x-4867=(175.2050.70):25+23\)
\(\implies x-4867=1004500+23\)
\(\implies x-4867=1004523\)
\(\implies x=1009390\)
\(3) 134-[(96-7x):4-2]=126\)
\(\implies (96-7x):4-2=8\)
\(\implies(96-7x):4=10\)
\(\implies 96-7x=40\)
\(\implies 7x=56\)
\(\implies x=8\)
\(4) 4-\{100-[(100-5x):8-5]:10\}:25=0\)
\(\implies 4-\{100-[(100-5x):8-5]:10\}=0\)
\(\implies 100-[(100-5x):8-5]:10=4\)
\(\implies 100-[(100-5x):8-5]=40\)
\(\implies (100-5x):8-5=60\)
\(\implies (100-5x):8=65\)
\(\implies 100-5x=520\)
\(\implies 5x=-420\)
\(\implies x=-84\)
~ Hok tốt a~
AB
1
PA
1
23 tháng 3 2016
a, => x- 1/4 = 5/12
=> x = 5/12 + 1/4
=> x = 2/3
b, => x/126 = -20/ 63
=> x/126 = -40/126
=> x = -40
NP
6 tháng 12 2021
a) 162 : 𝑥 + 216 : 𝑥 = 6
(162 + 216) : x = 6
378 : x = 6
x = 378 : 6
x = 63
b) 602 : x + 123 x 2 = 253
602 : x + 246 = 253
602 : x = 253 - 246
602 : x = 7
x = 602 : 7
x = 86
c) 486 : x - 126 :x = 6
(486-126) : x = 6
360 : x = 6
x = 360 : 6
x = 60
d) 725 : x + 175 : x = 5
(725 + 175) : x = 5
900 : x = 5
x = 900 : 5
x = 180
R
6 tháng 12 2021
a)\(162:x+216:x=6\)
⇔\(\left(162+216\right):x=6\)
⇔\(378:x=6\)
⇔\(x=63\)
b)\(602:x+123.2=253\)
⇔\(602:x+246=253\)
⇔\(602:x=7\)
⇔\(x=86\)
c)\(486:x-126:x=6\)
⇔\(\left(486-126\right):x=6\)
⇔\(360:x=6\)
⇔\(x=60\)
d)\(725:x+175:x=5\)
⇔\(\left(725+175\right):x=5\)
⇔\(900:x=5\)
⇔\(x=180\)
DT
6 tháng 12 2021
\(a.162:x+216:x=6\) \(b.602:x+123x2=253\)
\(\left(162+216\right):x=6\) \(602:x+246=253\)
\(378:x=6\) \(602:x=253-246\)
\(x=378:6=63\) \(602:x=7\)
\(x=602:7=86\)
\(c.486:x-126:x=6\) \(d.725:x+175:x=5\)
\(\left(486-126\right):x=6\) \(\left(725+175\right):x=5\)
\(360:x=6\) \(900:x=5\)
\(x=360:6=60\) \(x=900:5=180\)
\(5^{x-2}+5^0=126\\ 5^{x-2}+1=126\\ 5^{x-2}=126-1\\ 5^{x-2}=125\\ 5^{x-2}=5^3\\ x-2=3\\ x=3+2\\ x=5\)
Vậy x = 5
5\(^{x-2}\) + 50 = 126
5\(^{x-2}\) + 1 = 126
5\(^{x-2}\) = 126 - 1
5\(^{x-2}\) = 125
5\(^{x-2}\) = 53
\(x-2=3\)
\(x=2+3\)
\(x=5\)
Vậy \(x=5\)