Tim HDT
( 2x + 1 ) ( x - \(\frac{1}{2}\))
viết về hdt 1 hoặc hdt 2
x2+2x+1
x2-x+1/4
Ohhh, tui hiểu r.
x2 - x + \(\dfrac{1}{4}\)
⇔ x2 - 2.\(\dfrac{1}{2}\).x + \(\left(\dfrac{1}{2}\right)^2\)
⇔ \(\left(x^2-\dfrac{1}{2}\right)^2\)
\(x^2+2x+1=\left(x+1\right)^2\)
\(x^2-x+\dfrac{1}{4}=\left(x-\dfrac{1}{2}\right)^2\)
Tim x
\(\frac{x+2015}{5}+\frac{x+2016}{4}=\frac{x+2017}{3}+\frac{x+2018}{2}\)
2/ tim x
\(\frac{x+2015}{5}+\frac{x+2016}{6}=\frac{x+2017}{7} +\frac{x+2018}{8}\)
3/ tim x
\(\frac{1}{3}+\frac{1}{6}+\frac{99}{101}+\frac{1}{15}+... +\frac{1}{x\left(2x+1\right)}=\frac{1}{10}\)
\(\frac{x+2015}{5}+\frac{x+2016}{4}=\frac{x+2017}{3}+\frac{x+2018}{2}\)
\(\Leftrightarrow\left(\frac{x+2015}{5}+1\right)+\left(\frac{x+2016}{4}+1\right)=\left(\frac{x+2017}{3}+1\right)+\left(\frac{x+2018}{2}+1\right)\)
\(\Leftrightarrow\frac{x+2020}{5}+\frac{x+2020}{4}-\frac{x+2020}{3}-\frac{x+2020}{2}=0\)
\(\Leftrightarrow\left(x+2020\right)\left(\frac{1}{5}+\frac{1}{4}-\frac{1}{3}-\frac{1}{2}\right)=0\)
\(\Leftrightarrow x+2020=0\)vì \(\frac{1}{5}+\frac{1}{4}+\frac{1}{3}+\frac{1}{2}\ne0\)
\(\Leftrightarrow x=-2020\)
Cảm ơn bạn rất nhiều mình đã hiểu rồi
Chúc bạn học tốt nhé
Cho \(\frac{2x+1}{5}=\frac{3y-2}{7}=\frac{2x+3y-1}{6x}\) . Tim x va y
Áp dụng tính chất của dãy tỉ số bằng nhau, ta có:
\(\frac{2x+1}{5}=\frac{3y-2}{7}=\frac{2x+3y-1}{6x}=\frac{2x+1+3y-2-2x-3y+1}{5+7-6x}=\frac{0}{12-6x}=0\)
\(\left[\begin{array}{nghiempt}2x+1=0\\3y-2=0\end{array}\right.\)
\(\left[\begin{array}{nghiempt}2x=-1\\3y=2\end{array}\right.\)
\(\left[\begin{array}{nghiempt}x=-\frac{1}{2}\\y=\frac{2}{3}\end{array}\right.\)
Giải:
Áp dụng tính chất dãy tỉ số bằng nhau ta có:
\(\frac{2x+1}{5}=\frac{3y-2}{7}=\frac{2x+3y+1-2}{5+7}=\frac{2x+3y-1}{12}=\frac{2x+3y-1}{6x}\)
+) Xét \(2x+3y-1=0\Rightarrow2x+1=0=3y-2=0\)
\(\Rightarrow x=\frac{-1}{2},y=\frac{2}{3}\)
+) Xét \(2x+3y-1\ne0\)
\(\Rightarrow6x=12\)
\(\Rightarrow x=2\)
Ta có: \(2x+1=3y-2\)
\(\Rightarrow2.2+1=3y-2\)
\(\Rightarrow5=3y-2\)
\(\Rightarrow3y=7\)
\(\Rightarrow y=\frac{7}{3}\)
Vậy bộ số \(\left(x,y\right)\) là \(\left(\frac{-1}{2},\frac{2}{3}\right);\left(2,\frac{7}{3}\right)\)
Tim x biet: \(\frac{x+2}{2x-1}=\frac{x-6}{2x+3}\)
tim x biet
\(2\frac{1}{3}-\frac{1}{6}\left|-2x+\frac{1}{2}\right|\)\(=\frac{1}{2}\left|-x+\frac{1}{2}\right|-\frac{2}{3}\)
Tim \(x\inℕ^∗\)\(2x:\left(1+\frac{1}{1+2}+\frac{1}{1+2+3}+...+\frac{1}{1+2+3+...+x}\right)=2020\)
Tim GTTN A=\(\frac{x^2+x+1}{x^2+2x+1}\)
Tim x
\(|\left(x+\frac{1}{2}\right)|2x-\frac{3}{4}||=2x-\frac{3}{4}\)
help.. me mai mk nop r
neu de thi thu lam xem, dung m k cho
1) \(A=\left(\frac{1}{x-1}-\frac{2x}{x^3+x-x^2-1}\right):\left(1-\frac{2x}{x^2+1}\right)\)
a) Tim điều kiện của a dể A xác định
b) Rut gọn A
c) Tìm x để A dương
\(A=\left(\frac{1}{x-1}-\frac{2x}{x\left(x^2+1\right)-\left(x^2+1\right)}\right):\left(\frac{x^2+1-2x}{x^2+1}\right)\)
\(A=\left(\frac{1}{x-1}-\frac{2x}{\left(x-1\right)\left(x^2+1\right)}\right).\frac{x^2+1}{x^2+1-2x}\)
\(A=\frac{x^2+1-2x}{\left(x-1\right)\left(x^2+1\right)}\frac{x^2+1}{x^2+1-2x}\)
\(A=\frac{1}{x-1}\)