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giải phương trình sau:
a, (3x+1/4)-1/3*(6x+9/5)=1
b, (5/2x+1)-(2x/1-2x)=1-(6-4x/4x^2-1)
giải hộ mk vs ạ
a, \(\left(3x+\frac{1}{4}\right)-\frac{1}{3}\left(6x+\frac{9}{5}\right)=1\)
\(3x+\frac{1}{4}-\frac{6}{3}x-\frac{3}{5}=1\)
\(x-\frac{7}{20}=1\Leftrightarrow x=\frac{27}{20}\)
b,ĐKXĐ : x \(\ne\)-1/2 ; 1/2
\(\left(\frac{5}{2x+1}\right)-\left(\frac{2x}{1-2x}\right)=1-\left(\frac{6-4x}{4x^2-1}\right)\)
\(\frac{5}{2x+1}-\frac{2x}{1-2x}=1-\frac{6-4x}{4x^2-1}\)
\(\frac{5}{2x+1}-\frac{2x}{1-2x}=1-\frac{2\left(3-2x\right)}{\left(2x+1\right)\left(2x-1\right)}\)
\(\frac{5\left(1-2x\right)\left(2x-1\right)\left(2x+1\right)}{\left(2x+1\right)^2\left(1-2x\right)\left(2x-1\right)}-\frac{2x\left(2x+1\right)^2\left(2x-1\right)}{\left(1-2x\right)\left(2x+1\right)^2\left(2x-1\right)}=\frac{\left(2x+1\right)^2\left(1-2x\right)\left(2x-1\right)}{\left(2x+1\right)^2\left(1-2x\right)\left(2x-1\right)}-\frac{2\left(3-2x\right)\left(2x+1\right)\left(1-2x\right)}{\left(2x+1\right)\left(2x-1\right)^2\left(2x-1\right)\left(1-2x\right)}\)
\(22x-5-20x^2-8x^3=18x-7-8x^3-4x^2\)
lm nốt nha,bị troll rồi ko vt đc nữa.
\(a,\left(3x+1\right)^2-\left(2x-5\right)^2=0\\ \Leftrightarrow\left(3x+1+2x-5\right)\left(3x+1-2x+5\right)=0\\ \Leftrightarrow\left(5x-4\right)\left(x+6\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{4}{5}\\x=-6\end{matrix}\right.\\ b,\left(x+3\right)\left(4-3x\right)=x^2+6x+9\\ \Leftrightarrow\left(x+3\right)\left(4-3x\right)-\left(x+3\right)^2=0\\ \Leftrightarrow\left(x+3\right)\left(4-3x-x-3\right)=0\\ \Leftrightarrow\left(x+3\right)\left(1-4x\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=-3\\x=\dfrac{1}{4}\end{matrix}\right.\)
a: =>3,6-1,7x=2,3-1,4-4=0,9-4=-3,1
=>1,7x=6,7
hay x=67/17
b: \(\Leftrightarrow30\left(5x+4\right)-15\left(3x+5\right)=24\left(4x+9\right)-40\left(x-9\right)\)
=>150x+120-45x-75=96x+216-40x+360
=>105x+45=56x+576
=>49x=531
hay x=531/49
\(\text{1. x + 5 = 12}\)
\(x=12-5\)
\(x=7\)
\(\text{2. 3x - 7 = 5}\)
\(3x=5+7\)
\(3x=12\)
\(x=12:3\)
\(x=4\)
\(\text{3. 4x - 9 = 15}\)
\(4x=15+9\)
\(4x=24\)
\(x=24:4\)
\(x=6\)
\(\text{4. 8x + 24 = 0 }\)
\(8x=-24\)
\(x=-24:8\)
\(x=-3\)
\(\text{5. 5 - 3x = 6x + 7}\)
\(-3x-6x=7-5\)
\(-9x=2\)
\(x=\frac{2}{-9}\)
\(6.x-\frac{3}{5}=6-\frac{1-2x}{3}\)
\(\Rightarrow\frac{3.\left(x-3\right)}{15}=\frac{90-5\left(1-2x\right)}{15}\)
\(\Rightarrow3.\left(x-3\right)=90-5.\left(1-2x\right)\)
\(3x-9=90-5+10x\)
\(3x-10x=90-5+9\)
\(-7x=94\)
\(\Rightarrow x=\frac{94}{-7}\)
chúc Bạn học tốt !!
1. x+5=12
<=> x= 7
2. 3x-7=5 <=> 3x=12<=> x= 4
3. 4x-9=15<=> 4x= 24<=> x= 6
4. 8x+24=0 <=> 8x= -24 <=> x= -3
5. 5-3x= 6x+7 <=> -3x-6x= 7-5 <=> -9x = 2 <=. x= -2/9
g.\(\dfrac{1-3x}{6}+x-1=\dfrac{x+2}{2}\)
\(\Leftrightarrow\dfrac{\left(1-3x\right)+6\left(x-1\right)}{6}=\dfrac{3\left(x+2\right)}{6}\)
\(\Leftrightarrow\left(1-3x\right)+6\left(x-1\right)=3\left(x+2\right)\)
\(\Leftrightarrow1-3x+6x-6=3x+6\)
\(\Leftrightarrow-5=6\left(vô.lí\right)\)
Vậy pt vô nghiệm
h.\(\dfrac{3\left(2x+1\right)}{4}-5-\dfrac{3x+2}{10}=\dfrac{2\left(3x-1\right)}{5}\)
\(\Leftrightarrow\dfrac{15\left(2x+1\right)-100-2\left(3x+2\right)}{20}=\dfrac{8\left(3x-1\right)}{20}\)
\(\Leftrightarrow15\left(2x+1\right)-100-2\left(3x+2\right)=8\left(3x-1\right)\)
\(\Leftrightarrow30x+15-100-6x-4=24x-8\)
\(\Leftrightarrow-89=-8\left(vô.lí\right)\)
Vậy pt vô nghiệm
a) Chuyển vế và rút gọn được 4x = 16, tìm được x = 4.
b) Đưa PT về dạng 5x = 15, tìm được x = 3
c) Quy đồng, khử mẫu thu được 6x - 9 + 24 = 2 - 2x.
Từ đó tìm được x = - 13 8
d) Quy đồng, khử mẫu thu được 30x + 9 = 36 + 24x +32
Từ đó tìm được x = 59 6
\((3x+\frac{1}{4})-\frac{1}{3}\times(6x+\frac{9}{5})=1\)1
<=> \(3x+\frac{1}{4}-2x-\frac{3}{5}=1\)
<=>\(x-\frac{7}{20}=1\)
<=>\(20x-7=20\)
<=>\(20x=20+7\)
<=>\(20x=27\)
<=> \(x=\frac{27}{20}\)
\(\left(3x+\frac{1}{4}\right)-\frac{1}{3}.\left(6x+\frac{9}{5}\right)=1\)
\(\Leftrightarrow3x+\frac{1}{4}-2x-\frac{3}{5}=1\)
\(\Leftrightarrow x=1+\frac{3}{5}-\frac{1}{4}\)
\(\Leftrightarrow x=\frac{27}{20}\)