bài 2
a)2x(3x-1)=0
<=>2x=0 hoặc 3x-1=0
<=>x=0 hoặc x=\(\dfrac{1}{3}\)
b)(2x-3)(4x-5)=0
<=>2x-3=0 hoặc 4x-5=0
<=>x=\(\dfrac{3}{2}\) hoặc x=\(\dfrac{5}{4}\)
c)(x2-1)(2x-1)=0
<=>(x-1)(x+1)(2x-1)=0
<=>x-1=0 hoặc x+1=0 hoặc 2x-1=0
<=>x=1 hoặc x=-1 hoặc x=\(\dfrac{1}{2}\)
d)(x2-2x+1)-4=0
<=>(x-1)2-22=0
<=>(x-1-2)(x-1+2)=0
<=>x-1-2=0 hoặc x-1+2=0
<=>x=3 hoặc x=-1
e)(x-3)2=(x2+2x+1)
<=>(x-3)(x+3)=x2+2x+1
<=>x2-3x-3x+9=x2+2x+1
<=>x2-3x-3x-x2-2x=1-9
<=>-8x=-8
<=>x=1
bài 3
a)\(\dfrac{5x-2}{3}=\dfrac{5-3x}{2}\)
<=>\(\dfrac{2\left(5x-2\right)}{3.2}=\dfrac{3\left(5-3x\right)}{2.3}\)
=>10x-4=15-9x
<=>10x+9x=15+4
<=>19x=19
<=>x=1
b)\(\dfrac{10x+3}{12}=1+\dfrac{6+8x}{9}\)
<=>\(\dfrac{3\left(10x+3\right)}{12.3}=\dfrac{1.36}{1.36}+\dfrac{4\left(6+8x\right)}{9.4}\)
<=>30x+9=36+24+32x
<=>30x-32x=36+24-9
<=>-2x=51
<=>x=\(\dfrac{-51}{2}\)
c)(bạn chụp thiếu đề)
d)\(\dfrac{7x-1}{6}+2x=\dfrac{16-x}{5}\)
<=>\(\dfrac{5\left(7x-1\right)}{6.5}+\dfrac{30\left(2x\right)}{1.30}=\dfrac{6\left(16-x\right)}{5.6}\)
=>35x-5+60x=96-6x
<=>35x+60x+6x=96+5
<=>101x=101
<=>x=1
e)\(\dfrac{3x+2}{2}-\dfrac{3x+1}{6}=\dfrac{5}{3}+2x\)
<=>\(\dfrac{6\left(3x+2\right)}{2.6}-\dfrac{2\left(3x+1\right)}{6.2}=\dfrac{4.5}{4.3}+\dfrac{12.2x}{1.12}\)
=>18x+12-6x-2=20+24x
<=>18x-6x-24x=20-12+2
<=>-12x=10
<=>\(x=-\dfrac{5}{6}\)
câu 4
a)\(\dfrac{2}{x+1}-\dfrac{3}{x-1}=5\)
<=>\(\dfrac{2\left(x-1\right)}{\left(x+1\right)\left(x-1\right)}-\dfrac{3\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}=\dfrac{5\left(x-1\right)\left(x+1\right)}{1.\left(x-1\right)\left(x+1\right)}\)
=>2x-2-3x-3=5x2+5x-5x-5
<=>2x-3x-5x2-5x+5x=-5+3+2
<=>-x-5x2=0
<=>x(-1-5x)=0
<=>x=0 hoặc -x-5x =0
<=>x=0 hoặc x=\(-\dfrac{1}{5}\)
b)(dễ quá mình ko bt lm)
bài 1
1)17-8x=11-5x
<=>-8x+5x=11-17
<=>-3=-6
<=>x=2
2)7x+12=0
<=>7x=-12
<=>x=\(-\dfrac{12}{7}\)
3)-2x+14=0
<=>-2x=-14
<=>x=7
4)3x-1=7x-11
<=>3x-7x=-11+1
<=>-10x=-10
<=>x=1
5)2x+x+12=0
<=>2x+x=-12
<=>3x=-12
<=>x=-4
6)x-5=3-x
<=>x++x=3+5
<=>2x=8
<=>x=4
7)7-3x=9-x
<=>-3x+x=9-7
<=>-2x=2
<=>x=-2
8)(bạn chụp mờ quá mình ko nhìn được)
9)11-2x=x-1
<=>-2x-x=-1-11
<=>-3x=-12
<=>x=4
10)15-8x=9-5x
<=>-8x+5x=9-15
<=>-3x=-6
<=>x=2
11)3+2x=5+2
<=>2x=5+2+3
<=>2x=10
<=>x=5
12)(bạn chụp thiếu đề rồi)