Tìm x
(x-1/2)^2-1/2=23/12
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NM
3
10 tháng 8 2023
\(\left(x-\dfrac{1}{2}\right)^2-\dfrac{1}{3}=\dfrac{23}{12}\\ \Rightarrow\left(x-\dfrac{1}{2}\right)^2=\dfrac{23}{12}+\dfrac{1}{3}=\dfrac{9}{4}\\ \Rightarrow\left[{}\begin{matrix}x-\dfrac{1}{2}=\dfrac{3}{2}\\x-\dfrac{1}{2}=-\dfrac{3}{2}\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}+\dfrac{1}{2}=2\\x=-\dfrac{3}{2}+\dfrac{1}{2}=-1\end{matrix}\right.\)
ND
Nguyễn Đức Trí
VIP
10 tháng 8 2023
\(\left(x-\dfrac{1}{2}\right)^2-\dfrac{1}{3}=\dfrac{23}{12}\)
\(\Rightarrow\left(x-\dfrac{1}{2}\right)^2=\dfrac{23}{12}+\dfrac{1}{3}\)
\(\Rightarrow\left(x-\dfrac{1}{2}\right)^2=\dfrac{9}{4}=\left(\dfrac{3}{2}\right)^2\)
\(\Rightarrow\left[{}\begin{matrix}x-\dfrac{1}{2}=\dfrac{3}{2}\\x-\dfrac{1}{2}=-\dfrac{3}{2}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=2\\x=-1\end{matrix}\right.\)
NT
2
27 tháng 12 2018
24 - 16(x - 1/2) = 23
=> 16(x - 1/2) = 24 - 23
=> 16(x - 1/2) = 1
=> x - 1/2 = 1/16
=> x = 1/16 + 1/2
=> x = 9/16
27 tháng 12 2018
\(24-16(x-\frac{1}{2})=23\)
\(16(x-\frac{1}{2})=24-23\)
\(16(x-\frac{1}{2})=1\)
\(x-\frac{1}{2}=\frac{1}{16}\)
\(x=\frac{1}{16}+\frac{1}{2}\)
\(x=\frac{9}{16}\)
Vậy số thực x cần tìm là \(\frac{9}{16}\)
Chúc bạn hok tốt ~
GH
1 tháng 8 2023
\(3x^2\left(x-1\right)+5x\left(1-x\right)^2\\ =-3x^2\left(1-x\right)+5x\left(1-x\right)\left(1-x\right)\\ =\left(1-x\right)\left(-3x^2+5x-5x^2\right)\\ =x\left(1-x\right)\left(-3x+5-5x\right)\\ =x\left(1-x\right)\left(5-8x\right)\)
\(3\left(x-y\right)^2+9y\left(y-x\right)^2\\ =3\left(x-y\right)\left(x-y\right)+9y\left(y-x\right)\left(y-x\right)\\ =-3\left(x-y\right)\left(y-x\right)+9y\left(y-x\right)\left(y-x\right)\\ =\left(y-x\right)\left(-3x+3y+9y^2-9xy\right)\\ =\left(y-x\right)\left[-3\left(x-y\right)+9y\left(y-x\right)\right]\\ =\left(y-x\right)\left[-3\left(x-y\right)-9y\left(x-y\right)\right]\\ =\left(y-x\right)\left(-3-9y\right)\left(x-y\right)\\ =-3\left(y-x\right)\left(1+3y\right)\left(x-y\right)\)
28 tháng 3 2020
\(\text{30.(x+2)-6.(x+5)-24x=100}\)
\(30x+60-6x-30-24x=100\)
\(30x-6x-24x=100+30-60\)
\(0=70\\ \Rightarrow x\in\varnothing\)
\(\text{-12.(x-15)+7.(3-x)=15}\)
\(-12x+180+21-7x=15\)
\(-12x-7x=15-21-180\)
\(-19x=-186\)
\(x=\frac{186}{19}\)
\(\text{-(574+x)=(x-12-741)-23}\)
\(-574-x=x-12-741-23\)
\(-x-x=-752+574\)
\(-2x=-178\)
\(x=89\)
chúc bạn học tốt !!!
10 tháng 4 2022
a: =>52x-3-104=156
=>52x-107=156
=>52x=263
hay x=263/52
b: =>6x-3+24-2x-3x=31
=>x+21=31
hay x=10
CD
28 tháng 7 2016
\(a.x\times\left(y-1\right)=16\Rightarrow x\times\left(y-1\right)-16=0\)
\(\Rightarrow\hept{\begin{cases}x=0\\y-1=0\end{cases}\Rightarrow\hept{\begin{cases}x=0\\y=1\end{cases}}}\)
\(b.\left(x+3\right)\times y=16\Rightarrow\left(x+3\right)\times y-16=0\)
\(\Rightarrow\hept{\begin{cases}x+3=0\\y=0\end{cases}\Rightarrow\hept{\begin{cases}x=-3\\y=0\end{cases}}}\)
\(Những\)\(câu\)\(khác\)\(bn\)\(làm\)\(tương\)\(tự\)\(là\)\(ra!!!\)
NL
0
\((x-\dfrac{1}{2})^2-\dfrac{1}{2}=\dfrac{23}{12}\)
\((x-\dfrac{1}{2})^2=\dfrac{23}{12}+\dfrac{1}{2}\)
\((x-\dfrac{1}{2})^2=\dfrac{29}{12}\)
\(\left[{}\begin{matrix}x-\dfrac{1}{2}=\sqrt{\dfrac{29}{12}}\\x-\dfrac{1}{2}=-\sqrt{\dfrac{29}{12}}\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=\sqrt{\dfrac{29}{12}}+\dfrac{1}{2}\\x=-\sqrt{\dfrac{29}{12}}+\dfrac{1}{2}\end{matrix}\right.\)