ĐK: \(x\ne-3,3,-2\)

Ta có: \(\frac{13-x}{x+3}+\frac{6x^2+6}{x^4-8x^2-9}-\frac{3x+6}{x^2+5x+6}-\frac{2}{x-3}=0\)

=>\(\frac{13-x}{x+3}+\frac{6x^2+6}{x^4-9x^2+x^2-9}-\frac{3x+6}{x^2+3x+2x+6}-\frac{2}{x-3}=0\)

=>\(\frac{13-x}{x+3}+\frac{6x^2+6}{x^2.\left(x^2-9\right)+\left(x^2-9\right)}-\frac{3x+6}{x.\left(x+3\right)+2.\left(x+3\right)}-\frac{2}{x-3}=0\)

=>\(\frac{13-x}{x+3}+\frac{6.\left(x^2+1\right)}{\left(x^2+1\right).\left(x^2-9\right)}-\frac{3.\left(x+2\right)}{\left(x+2\right).\left(x+3\right)}-\frac{2}{x-3}=0\)

=>\(\frac{13-x}{x+3}+\frac{6}{x^2-9}-\frac{3}{x+3}-\frac{2}{x-3}=0\)

=>\(\left(\frac{13-x}{x+3}-\frac{3}{x+3}\right)+\left(\frac{6}{x^2-9}-\frac{2}{x-3}\right)=0\)

=>\(\frac{13-x-3}{x+3}+\left[\frac{6}{x^2-9}-\frac{2.\left(x+3\right)}{\left(x-3\right).\left(x+3\right)}\right]=0\)

=>\(\frac{10-x}{x+3}+\left[\frac{6}{x^2-9}-\frac{2x+6}{x^2-9}\right]=0\)

=>\(\frac{10-x}{x+3}+\frac{6-2x-6}{x^2-9}=0\)

=>\(\frac{\left(10-x\right).\left(x-3\right)}{\left(x+3\right).\left(x-3\right)}+\frac{-2x}{x^2-9}=0\)

=>\(\frac{13x-x^2-30}{x^2-9}-\frac{2x}{x^2-9}=0\)

=>\(\frac{13x-x^2-30-2x}{x^2-9}=0\)

=>\(\frac{11x-x^2-30}{x^2-9}=0\)

Vì \(x\ne-3,3=>x^2\ne0\)

=>11x-x²-30=0

=>6x-30-x²+5x=0

=>6.(x-5)-x.(x-5)=0

=>(6-x).(x-5)=0

=>6-x=0=>x=6

hoặc x-5=0=>x=5

Vậy tập nghiệm của phương trình S=6; 5

Em ước gì được ên lớp 8 để giúp anh  Hoàng Phúc

Nobita Kun nó lớp 7 đó cha ko làm thì thôi ai bắt vô cmt

\(\frac{13-x}{x+3}+\frac{6x^2+6}{x^4-8x^2-9}-\frac{3x+6}{x^2+5x+6}-\frac{2}{x-3}=0\)

\(\Leftrightarrow\frac{13-x}{x+3}+\frac{6\left(x^2+1\right)}{x^4-8x^2+16-25}-\frac{3\left(x+2\right)}{x^2+2x+3x+6}-\frac{2}{x-3}=0\)

\(\Leftrightarrow\frac{13-x}{x+3}+\frac{6\left(x^2+1\right)}{\left(x^4-8x^2+16\right)-5^2}-\frac{3\left(x+2\right)}{x\left(x+2\right)+3\left(x+2\right)}-\frac{2}{x-3}=0\)

\(\Leftrightarrow\frac{13-x}{x+3}+\frac{6\left(x^2+1\right)}{\left(x^2-4\right)^2-5^2}-\frac{3\left(x+2\right)}{\left(x+2\right)\left(x+3\right)}-\frac{2}{x-3}=0\)

\(\Leftrightarrow\frac{13-x}{x+3}-\frac{3}{x+3}+\frac{6\left(x^2+1\right)}{\left(x^2+1\right)\left(x^2-9\right)}-\frac{2}{x-3}=0\)

\(\Leftrightarrow\frac{10-x}{x+3}+\frac{6}{\left(x-3\right)\left(x+3\right)}-\frac{2}{x-3}=0\)

\(\Leftrightarrow\frac{\left(10-x\right)\left(x-3\right)+6-2\left(x+3\right)}{\left(x-3\right)\left(x+3\right)}=0\)

\(\Leftrightarrow10x-30-x^2+3x+6-2x-6=0\)

\(\Leftrightarrow-x^2+11x-30=0\)

\(\Leftrightarrow-x^2+5x+6x-30=0\)

\(\Leftrightarrow-x\left(x-5\right)+6\left(x-5\right)=0\)

\(\Leftrightarrow\left(x-5\right)\left(-x+6\right)=0\)

\(\Leftrightarrow\left[\begin{matrix}x-5=0\\-x+6=0\end{matrix}\right.\)

\(\Rightarrow\left[\begin{matrix}x=5\\x=6\end{matrix}\right.\)

Vậy x=5 ;x=6

Phương trình này k có nghiệm

(A Trọng ns thế)

Akai Haruma, No choice teen, Arakawa Whiter, HISINOMA KINIMADO, tth, Nguyễn Việt Lâm, Phạm Hoàng Lê Nguyên, @Nguyễn Thị Ngọc Thơ

Mn giúp em vs ạ! Thanks trước!

\(c,\left(x^3-3x+2\right)\sqrt{3x-2}-2x^3+6x^2-4x=0\)

\(\Rightarrow\left(x+2\right)\left(x-1\right)^2\sqrt{3x-2}-2x\left(x^2-3x+2\right)=0\)

\(\Rightarrow\left(x+2\right)\left(x-1\right)^2\sqrt{3x-2}-2x\left(x-1\right)\left(x-2\right)=0\)

\(\Rightarrow x=1\)

Hoặc là: \(\Rightarrow\left(x+2\right)\left(x-1\right)\sqrt{3x-2}-2x\left(x-2\right)=0\)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Còn cần nữa không, hôm bữa chị giải ra câu a mà quên béng mất, mấy hôm lại bận làm thuyết trình Tiếng Anh nên bỏ dở.

Giờ mà cần chị cũng chỉ làm được câu a thôi '-'

Đây là những bài cơ bản mà bạn!

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

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

\(< =>\left(5x-2\right).2=\left(5-3x\right).3\)

\(< =>10x-4=15-9x\)

\(< =>10x+9x=15+4\)

\(< =>19x=19< =>x=1\)

\(\frac{10x+3}{12}=1+\frac{6+8x}{9}\)

\(< =>\frac{\left(10x+3\right).3}{36}=\frac{36}{36}+\frac{\left(6+8x\right).4}{36}\)

\(< =>\left(10x+3\right).3=36+\left(6+8x\right).4\)

\(< =>30x+9=36+24+32x\)

\(< =>32x-30x=9-36-24\)

\(< =>2x=9-60=-51< =>x=-\frac{51}{2}\)

1/. PT <=> \(\frac{13-x}{x+3}+\frac{6\left(x^2+1\right)}{\left(x^4+x^2\right)-\left(9x^2+9\right)}-\frac{3\left(x+2\right)}{\left(x^2+2x\right)+\left(3x+6\right)}-\frac{2}{x-3}=0\)

<=> \(\frac{13-x}{x+3}+\frac{6\left(x^2+1\right)}{x^2\left(x^2+1\right)-9\left(x^2+1\right)}-\frac{3\left(x+2\right)}{x\left(x+2\right)+3\left(x+2\right)}-\frac{2}{x-3}=0\)

<=> \(\frac{13-x}{x+3}+\frac{6\left(x^2+1\right)}{\left(x^2+1\right)\left(x^2-9\right)}-\frac{3\left(x+2\right)}{\left(x+2\right)\left(x+3\right)}-\frac{2}{x-3}=0\)

<=>\(\frac{\left(13-x\right)\left(x-3\right)}{\left(x+3\right)\left(x-3\right)}+\frac{6}{\left(x-3\right)\left(x+3\right)}-\frac{3\left(x-3\right)}{\left(x-3\right)\left(x+3\right)}-\frac{2\left(x+3\right)}{\left(x-3\right)\left(x+3\right)}=0\) (1)

ĐKXĐ: \(x\ne3vàx\ne-3\)

(1) => \(13x-39-x^2+3x+6-3x+9-2x-6=0\)

<=> \(x^2-11x+30=0\)

<=> (x²-5x) -(6x - 30) = 0

<=> x(x - 5) -6 (x - 5) = 0

<=> (x-5) (x - 6) = 0 

<=> x = 5 hay x = 6 (nhận )

Vậy pt đã cho có tập nghiệm S = {5;6}

d: =>4x+6=15x-12

=>4x-15x=-12-6=-18

=>-11x=-18

hay x=18/11

e: =>\(45x+27=12+24x\)

=>21x=-15

hay x=-5/7

f: =>35x-5=96-6x

=>41x=101

hay x=101/41

g: =>3(x-3)=90-5(1-2x)

=>3x-9=90-5+10x

=>3x-9=10x+85

=>-7x=94

hay x=-94/7

Ai làm đc câu nào thì làm giúp mình với ạ, cảm ơn trc:(((

\(1,3x-5x+5=-8\)

\(\Leftrightarrow-2x+5+8=0\)

\(\Leftrightarrow-2x=-13\)

\(\Leftrightarrow x=\frac{13}{2}\)