MÌnh nghĩ là 1, cách làm của mình như sau

ta có y= f(x)= 2x+3=5

      =>2x = 5 - 3

          2x = 2

            x = 2 : 2

            x = 1

a: =>x-2/5=3/4:1/3=3/4*3=9/4

=>x=9/4+2/5=45/20+8/20=53/20

b: =>x-2/3=7/3:4/5=7/3*5/4=35/12

=>x=35/12+2/3=43/12

c: 1/3(x-2/5)=4/5

=>x-2/5=4/5*3=12/5

=>x=12/5+2/5=14/5

d: =>2/3x-1/3-1/4x+1/10=7/3

=>5/12x-7/30=7/3

=>5/12x=7/3+7/30=77/30

=>x=77/30:5/12=154/25

e: \(\Leftrightarrow x\cdot\dfrac{3}{7}-\dfrac{2}{7}+\dfrac{1}{2}-\dfrac{5}{4}x+\dfrac{5}{2}=0\)

=>\(x\cdot\dfrac{-23}{28}=\dfrac{2}{7}-3=\dfrac{-19}{7}\)

=>x=19/7:23/28=76/23

f: =>1/2x-3/2+1/3x-4/3+1/4x-5/4=1/5

=>13/12x=1/5+3/2+4/3+5/4=257/60

=>x=257/65

i: =>x^2-2/5x-x^2-2x+11/4=4/3

=>-12/5x=4/3-11/4=-17/12

=>x=17/12:12/5=85/144

Bạn cần viết đề bài bằng công thức toán để được hỗ trợ tốt hơn. 

x^2+2x-3/3+2x/4=x^2/3

a: ĐKXĐ: x∉{3;-1}

\(\frac{2}{x+1}-\frac{1}{x-3}=\frac{3x-11}{x^2-2x-3}\)

=>\(\frac{2}{x+1}-\frac{1}{x-3}=\frac{3x-11}{\left(x-3\right)\left(x+1\right)}\)

=>\(\frac{2\left(x-3\right)-x-1}{\left(x-3\right)\left(x+1\right)}=\frac{3x-11}{\left(x-3\right)\left(x+1\right)}\)

=>3x-11=2(x-3)-x-1

=>3x-11=2x-6-x-1=x-7

=>3x-x=-7+11

=>2x=4

=>x=2(nhận)

b: ĐKXĐ: x<>0; x<>2

\(\frac{3}{x-2}+\frac{1}{x}=\frac{-2}{x\left(x-2\right)}\)

=>\(\frac{3x+x-2}{x\left(x-2\right)}=\frac{-2}{x\left(x-2\right)}\)

=>\(\frac{4x-2}{x\left(x-2\right)}=\frac{-2}{x\left(x-2\right)}\)

=>4x-2=-2

=>4x=0

=>x=0(loại)

c: ĐKXĐ: x<>3; x<>-3

\(\frac{x-3}{x+3}-\frac{2}{x-3}=\frac{3x+1}{9-x^2}\)

=>\(\frac{\left(x-3\right)^2-2\left(x+3\right)}{\left(x-3\right)\left(x+3\right)}=\frac{-3x-1}{\left(x-3\right)\left(x+3\right)}\)

=>\(\left(x-3\right)^2-2\left(x+3\right)=-3x-1\)

=>\(x^2-6x+9-2x-6+3x+1=0\)

=>\(x^2-5x+4=0\)

=>(x-1)(x-4)=0

=>x=1(nhận) hoặc x=4(nhận)

d: ĐKXĐ: x<>2; x<>-1

\(\frac{2}{x+1}-\frac{1}{x-2}=\frac{3x-5}{x^2-x-2}\)

=>\(\frac{2}{x+1}-\frac{1}{x-2}=\frac{3x-5}{\left(x-2\right)\left(x+1\right)}\)

=>\(\frac{2\left(x-2\right)-x-1}{\left(x-2\right)\left(x+1\right)}=\frac{3x-5}{\left(x-2\right)\left(x+1\right)}\)

=>3x-5=2x-4-x-1=x-5

=>2x=0

=>x=0(nhận)

e: ĐKXĐ: x<>2; x<>-2

\(\frac{x-2}{x+2}+\frac{3}{x-2}=\frac{x^2-11}{x^2-4}\)

=>\(\frac{\left(x-2\right)^2+3\left(x+2\right)}{\left(x+2\right)\left(x-2\right)}=\frac{x^2-11}{\left(x-2\right)\left(x+2\right)}\)

=>\(\left(x-2\right)^2+3\left(x+2\right)=x^2-11\)

=>\(x^2-4x+4+3x+6=x^2-11\)

=>-x+10=-11

=>-x=-21

=>x=21(nhận)

f: ĐKXĐ: x<>-1;x<>0

\(\frac{x+3}{x+1}+\frac{x-2}{x}=2\)

=>\(\frac{x\left(x+3\right)+\left(x-2\right)\left(x+1\right)}{x\left(x+1\right)}=2\)

=>2x(x+1)=x(x+3)+(x-2)(x+1)

=>\(2x^2+2x=x^2+3x+x^2-x-2=2x^2+2x-2\)

=>0=-2(vô lý)

=>Phương trình vô nghiệm

g: ĐKXĐ: x<>5; x<>-5

\(\frac{x+5}{x-5}-\frac{x-5}{x+5}=\frac{20}{x^2-25}\)

=>\(\frac{\left(x+5\right)^2-\left(x-5\right)^2}{\left(x+5\right)\left(x-5\right)}=\frac{20}{\left(x-5\right)\left(x+5\right)}\)

=>\(\left(x+5\right)^2-\left(x-5\right)^2=20\)

=>\(x^2+10x+25-x^2+10x-25=20\)

=>20x=20

=>x=1

h: ĐKXĐ: x<>1; x<>-1

\(\frac{x+4}{x+1}+\frac{x}{x-1}=\frac{2x^2}{x^2-1}\)

=>\(\frac{\left(x+4\right)\left(x-1\right)+x\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}=\frac{2x^2}{\left(x-1\right)\left(x+1\right)}\)

=>\(\left(x+4\right)\left(x-1\right)+x\left(x+1\right)=2x^2\)

=>\(x^2+3x-4+x^2+x=2x^2\)

=>4x-4=0

=>4x=4

=>x=1(loại)

i: ĐKXĐ: x<>1; x<>-1

\(\frac{x+1}{x-1}-\frac{1}{x+1}=\frac{x^2+2}{x^2-1}\)

=>\(\frac{\left(x+1\right)^2-\left(x-1\right)}{\left(x-1\right)\left(x+1\right)}=\frac{x^2+2}{\left(x-1\right)\left(x+1\right)}\)

=>\(\left(x+1\right)^2-\left(x-1\right)=x^2+2\)

=>\(x^2+2x+1-x+1=x^2+2\)

=>x+2=2

=>x=0(nhận)

1.

$(x-2)(x-5)=(x-3)(x-4)$

$\Leftrightarrow x^2-7x+10=x^2-7x+12$
$\Leftrightarrow 10=12$ (vô lý)

Vậy pt vô nghiệm.

2.

$(x-7)(x+7)+x^2-2=2(x^2+5)$

$\Leftrightarrow x^2-49+x^2-2=2x^2+10$
$\Leftrightarrow 2x^2-51=2x^2+10$

$\Leftrightarrow -51=10$ (vô lý)

Vậy pt vô nghiệm.

3.

$(x-1)^2+(x+3)^2=2(x-2)(x+2)$
$\Leftrightarrow (x^2-2x+1)+(x^2+6x+9)=2(x^2-4)$
$\Leftrightarrow 2x^2+4x+10=2x^2-8$

$\Leftrightarrow 4x+10=-8$

$\Leftrightarrow 4x=-18$

$\Leftrightarrow x=-4,5$

4.

$(x+1)^2=(x+3)(x-2)$

$\Leftrightarrow x^2+2x+1=x^2+x-6$

$\Leftrightarrow x=-7$ 

1: \(\frac{3x-2}{3}-2=\frac{4x+1}{4}\)

=>\(\frac{3x-2-6}{3}=\frac{4x+1}{4}\)

=>\(\frac{3x-8}{3}=\frac{4x+1}{4}\)

=>3(4x+1)=4(3x-8)

=>12x+3=12x-32

=>3=-32(vô lý)

=>Phương trình vô nghiệm

2: \(\frac{x-3}{4}+\frac{2x-1}{3}=\frac{2-x}{6}\)

=>\(\frac{3\left(x-3\right)+4\left(2x-1\right)}{12}=\frac{2\left(2-x\right)}{12}\)

=>3(x-3)+4(2x-1)=2(2-x)

=>3x-9+8x-4=4-2x

=>11x-13=4-2x

=>13x=17

=>\(x=\frac{17}{13}\)

3: \(\frac12\left(x+1\right)+\frac14\left(x+3\right)=3-\frac13\left(x+2\right)\)

=>\(\frac12x+\frac12+\frac14x+\frac34+\frac13x+\frac23=3\)

=>\(x\left(\frac12+\frac14+\frac13\right)+\frac{6}{12}+\frac{9}{12}+\frac{8}{12}=3\)

=>\(x\left(\frac{6}{12}+\frac{3}{12}+\frac{4}{12}\right)=3-\frac{23}{12}=\frac{36}{12}-\frac{23}{12}=\frac{13}{12}\)

=>\(x\cdot\frac{13}{12}=\frac{13}{12}\)

=>x=1

4: \(\frac{x+4}{5}-x+4=\frac{x}{3}-\frac{x-2}{2}\)

=>\(\frac{x+4}{5}+\frac{5\left(-x+4\right)}{5}=\frac{2x-3\left(x-2\right)}{6}\)

=>\(\frac{x+4-5x+20}{5}=\frac{2x-3x+6}{6}\)

=>\(\frac{-4x+24}{5}=\frac{-x+6}{6}\)

=>6(-4x+24)=5(-x+6)

=>-24x+144=-5x+30

=>-19x=-114

=>x=6

5: \(\frac{4-5x}{6}=\frac{2\left(-x+1\right)}{2}\)

=>\(\frac{4-5x}{6}=-x+1\)

=>6(-x+1)=-5x+4

=>-6x+6=-5x+4

=>-6x+5x=4-6

=>-x=-2

=>x=2

6: \(-\left(\frac{x-3}{2}-2\right)=\frac{5\left(x+2\right)}{4}\)

=>\(-\frac{x-3-4}{2}=\frac{5\left(x+2\right)}{4}\)

=>\(\frac{-2\left(x-7\right)}{4}=\frac{5\left(x+2\right)}{4}\)

=>5(x+2)=-2(x-7)

=>5x+10=-2x+14

=>7x=4

=>x=4/7

7: \(\frac{2\left(2x+1\right)}{5}-\frac{6+x}{3}=\frac{5-4x}{15}\)

=>\(\frac{6\left(2x+1\right)-5\left(x+6\right)}{15}=\frac{5-4x}{15}\)

=>6(2x+1)-5(x+6)=-4x+5

=>12x+6-5x-30=-4x+5

=>7x-24=-4x+5

=>7x+4x=5+24

=>11x=29

=>\(x=\frac{29}{11}\)

8: \(\frac{7-3x}{2}-\frac{5+x}{5}=1\)

=>\(\frac{5\left(7-3x\right)-2\left(x+5\right)}{10}=1\)

=>5(7-3x)-2(x+5)=10

=>35-15x-2x-10=10

=>-17x+25=10

=>-17x=-15

=>x=15/17

Bài dài quá, lần sau chia nhỏ câu hỏi nhé!!!!!

đúng vậy

1: Ta có: \(x^2-2x+5-\left(x-7\right)\left(x+2\right)\)

\(=x^2-2x+5-x^2-2x+7x-14\)

\(=3x-9\)

2: Ta có: \(-5x\left(x-5\right)+\left(x-3\right)\left(x^2-7\right)\)

\(=-5x^2+25x+x^3-7x-3x^2+21\)

\(=x^3-8x^2+18x+21\)

3: Ta có: \(x\left(x^2-x-2\right)-\left(x+5\right)\left(x-1\right)\)

\(=x^3-x^2-2x-x^2-4x+5\)

\(=x^3-2x^2-6x+5\)