Tìm x biết x - 25%.x = 1/ 2
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23 tháng 8 2023
a) \(A\left(x\right)=x^2-10x+25\)
\(\Rightarrow A\left(x\right)=\left(x-5\right)^2\)
\(\Rightarrow\left\{{}\begin{matrix}A\left(0\right)=\left(0-5\right)^2=25\\A\left(-1\right)=\left(-1-5\right)^2=36\end{matrix}\right.\)
b) \(A\left(x\right)+B\left(x\right)=6x^2-5x+25\)
\(\Rightarrow B\left(x\right)=6x^2-5x+25-A\left(x\right)\)
\(\Rightarrow B\left(x\right)=6x^2-5x+25-\left(x^2-10x+25\right)\)
\(\Rightarrow B\left(x\right)=6x^2-5x+25-x^2+10x-25\)
\(\Rightarrow B\left(x\right)=5x^2+5x\)
\(\Rightarrow B\left(x\right)=5x\left(x+1\right)\)
c) \(A\left(x\right)=\left(x-5\right)C\left(x\right)\)
\(\Rightarrow C\left(x\right)=\dfrac{\left(x-5\right)^2}{x-5}=x-5\left(x\ne5\right)\)
d) Nghiệm của B(x)
\(\Leftrightarrow B=0\)
\(\Leftrightarrow5x\left(x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x+1=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-1\end{matrix}\right.\) là nghiệm của B(x)
NT
1
9 tháng 1 2017
xem lại đề hộ mk nhé
mk sửa đề thế này
x+ ( x+1)+(x+2)+....+(x+24)+(x+25) = 25
=> x+ x+1 + x + 2 +...+ x+ 24 + x + 25 = 25
=> 25x + 325 = 25
từ đây tính ra x
11 tháng 12 2020
a) \(7x\left(x+1\right)-3\left(x+1\right)=0\Rightarrow\left(x+1\right)\left(7x-3\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x+1=0\\7x+3=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-1\\x=-\dfrac{3}{7}\end{matrix}\right.\)
b) 3(x + 8) - x2 - 8x = 0
=> 3(x + 8) - (x2 + 8x) = 0
=> 3(x + 8) - x(x + 8) = 0
=> (x + 8)(3 - x) = 0 => \(\left[{}\begin{matrix}x+8=0\\3-x=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-8\\x=3\end{matrix}\right.\)
c) \(x^2-10x=-25\Rightarrow x^2-10x+25=0\Rightarrow\left(x-5\right)^2=0\Rightarrow x=5\)
d) Giống câu c
HO
19 tháng 8 2021
a)
b) 3(x + 8) - x2 - 8x = 0
=> 3(x + 8) - (x2 + 8x) = 0
=> 3(x + 8) - x(x + 8) = 0
=> (x + 8)(3 - x) = 0 =>
c)
NL
3
25 tháng 12 2022
\(3\left(x-2\right)+4\left(x-1\right)=25\)
\(\Leftrightarrow3x-6+4x-4=25\)
\(\Leftrightarrow7x=35\)
\(\Leftrightarrow x=5\)
25 tháng 12 2022
\(\left(5x-3\right)\left(x-2\right)=\left(x-1\right)\left(x-2\right)\)
\(\Leftrightarrow\left(5x-3\right)\left(x-2\right)-\left(x-1\right)\left(x-2\right)=0\)
\(\Leftrightarrow\left(x-2\right)\left(5x-3-x+1\right)=0\)
\(\Leftrightarrow\left(x-2\right)\left(4x+2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-2=0\\4x+2=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=\dfrac{-1}{2}\end{matrix}\right.\)
HD
2
20 tháng 12 2022
a: =>5(x+2)=170
=>x+2=34
=>x=32
b: =>x+2=5 hoặc x+2=-5
=>x=-7 hoặc x=3
c: =>x-2=1 hoặc x-2=-1
=>x=1 hoặc x=3
28 tháng 9 2021
\(3\left(x-1\right)^2+\left(x+5\right)\left(2-3x\right)=-25\)
\(\Leftrightarrow3x^2-6x+3-3x^2-13x+10=-25\)
\(\Leftrightarrow-19x=-38\Leftrightarrow x=2\)
28 tháng 9 2021
\(\Rightarrow3x^2-6x+3+2x-3x^2+10-15x=-25\\ \Rightarrow-19x=-38\\ \Rightarrow x=2\)
H9
HT.Phong (9A5)
CTVHS
27 tháng 9 2023
\(\left(x+1\right)^2=25\)
\(\Rightarrow\left(x+1\right)^2=\left(\pm5\right)^2\)
\(\Rightarrow\left[{}\begin{matrix}x+1=5\\x+1=-5\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=5-1\\x=-5-1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=4\\x=-6\end{matrix}\right.\)
27 tháng 9 2023
\(\left(x+1\right)\cdot2=25\)
\(2x+2=25\)
\(2x=25-2=23\)
\(x=23:2=11,5\)
30 tháng 3 2015
x + 25%x = \(\frac{1}{2}\)
x.1+\(\frac{1}{4}\)x = \(\frac{1}{2}\)
x.(\(1+\frac{1}{4}\)) = \(\frac{1}{2}\)
x . \(\frac{5}{4}\)= \(\frac{1}{2}\)
x = \(\frac{1}{2}\div\frac{5}{4}\)
x = \(\frac{2}{5}\)
30 tháng 3 2015
Ta có : \(X+25\%.X=\frac{1}{2}\Leftrightarrow X+\frac{1}{4}.X=\frac{1}{2}\Leftrightarrow X.\left(1+\frac{1}{4}\right)=\frac{1}{2}\)\(\Leftrightarrow X.\frac{5}{4}=\frac{1}{2}\Leftrightarrow X=\frac{1}{2}:\frac{5}{4}\Leftrightarrow X=\frac{2}{5}\)
LN
2
7 tháng 8 2021
1, \(\left(x-1\right)\left(x+2\right)-\left(x-1\right)^2=0\)
\(\Leftrightarrow\left(x-1\right)\left[x+2-\left(x-1\right)\right]=0\)
\(\Leftrightarrow3\left(x-1\right)=0\Leftrightarrow x=1\)
2, \(\left(x-2\right)^2-3\left(x-2\right)\left(x+1\right)=0\)
\(\Leftrightarrow\left(x-2\right)\left[x-2-3\left(x+1\right)\right]=0\)
\(\Leftrightarrow\left(x-2\right)\left(-2x-5\right)=0\Leftrightarrow x=-\dfrac{5}{2};x=2\)
3, \(\left(5-2x\right)\left(2x+7\right)=4x^2-25=\left(2x-5\right)\left(2x+5\right)\)
\(\Leftrightarrow\left(5-2x\right)\left(2x+7\right)+\left(5-2x\right)\left(2x+5\right)=0\)
\(\Leftrightarrow\left(5-2x\right)\left(2x+7+2x+5\right)=0\Leftrightarrow\left(4x+12\right)\left(5-2x\right)=0\Leftrightarrow x=-3;x=\dfrac{5}{2}\)
7 tháng 8 2021
1) Ta có: \(\left(x-1\right)\left(x+2\right)-\left(x-1\right)^2=0\)
\(\Leftrightarrow\left(x-1\right)\left(x+2-x+1\right)=0\)
\(\Leftrightarrow x-1=0\)
hay x=1
2) Ta có: \(\left(x-2\right)^2-3\left(x-2\right)\left(x+1\right)=0\)
\(\Leftrightarrow\left(x-2\right)\left(x-2-3x-3\right)=0\)
\(\Leftrightarrow\left(x-2\right)\left(-2x-5\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=\dfrac{-5}{2}\end{matrix}\right.\)
B
1
NT
10 tháng 8 2021
a) \(\left(x-2\right)\left(x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-2=0\\x+1=0\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-1\end{matrix}\right.\)
b) \(\left(x^2+5\right)\left(x^2-25\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x^2+5=0\\x^2-25=0\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x^2=-5\\x^2=25\end{matrix}\right.\) \(\Leftrightarrow x^2=25\) \(\Leftrightarrow x=\pm5\)
\(x-25\%.x=\frac{1}{2}\)
\(x.1-25\%.x=\frac{1}{2}\)
\(x.\left(1-25\%\right)=\frac{1}{2}\)
\(x.\left(1-\frac{1}{4}\right)=\frac{1}{2}\)
\(x.\frac{3}{4}=\frac{1}{2}\)
\(x=\frac{1}{2}:\frac{3}{4}=\frac{1}{2}.\frac{4}{3}\)
\(x=\frac{2}{3}\)