sai cmnr rồi

F(x)+G(x)=(-5x\(^5\)+7x^3+x^2-2x+12)+(-4x^4+x^3+7x^2+8x-9)

=(-5x^5)+(7x^3+x^3)+(x^2+7x^2)+(-2x+8x)+(

CHÚC BẠN HỌC TỐT

F(x)+G(x)=(-5x³+7x³+x²-2x+12)+(-4x⁴+x³+7x²+8x-9)=-5x⁵-4x⁴+8x³+8x²+6x+3

\(F\left(x\right)+G\left(x\right)=\left(-5x^5+7x^3+x^2-2x+12\right)+\left(-4x^4+x^3+7x^2+8x-9\right)\)

= \(-5x^5+7x^3+x^2-2x+12-4x^4+x^3+7x^2+8x-9\)

= \(=-5x^5+\left(7x^3+x^3\right)+\left(x^2+7x^2\right)+\left(-2x+8x\right)+\left(12-9\right)-4x^4\)

= \(-5x^5-4x^4+8x^3+8x^2+6x+3\)

Phân tích đa thức thành nhân tử thôi bạn :

Ta có :

\(h\left(x\right)=x^2+5x+6\)

\(h\left(x\right)=x\left(x+2\right)+3\left(x+2\right)\)

\(h\left(x\right)=\left(x+2\right)\left(x+3\right)\)

\(\Rightarrow N_oh\left(x\right)=-2;-3\)

\(g\left(x\right)=2x^2+7x-9\)

\(g\left(x\right)=2x^2+9x-2x-9\)

\(g\left(x\right)=2x\left(x-1\right)+9\left(x-1\right)\)

\(g\left(x\right)=\left(x-1\right)\left(2x+9\right)\)

\(\Rightarrow N_og\left(x\right)=1;-4,5\)

ko biet

haha

a: =>7x-5x=4+6

=>2x=10

hay x=5

b: =>3x-7x=9+5

=>-4x=14

hay x=-7/2

a). 7x-6 = 5x+4 

=> 7x - 5x = 4 + 6

=> 2x = 10

=> x = 5     

 b) 3x-5 = 7x+9

=> 3x - 7x = 9 + 5

=> -4x = 14

=> x = -7/2

a) x=5

b) x= -7/2

bài lạ thật

ý bạn là như thế này đúng không ạ:

a/ \(x^2-6x+5=0\)

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

\(x\left(x-5\right)-\left(x-5\right)=0\)

\(\left(x-5\right)\left(x-1\right)=0\)

\(\orbr{\begin{cases}x-5=0\rightarrow x=5\\x-1=0\rightarrow x=1\end{cases}}\)

b/\(2x^2+7x+9=0\)

?!

c/ \(4x^2-7x+3=0\)

\(4x^2-4x-3x+3=0\)

\(4x\left(x-1\right)-3\left(x-1\right)=0\)

\(\left(x-1\right)\left(4x-3\right)=0\)

\(\orbr{\begin{cases}x-1=0\Rightarrow x=1\\4x-3=0\Rightarrow x=\frac{3}{4}\end{cases}}\)

d/ \(2\left(x+5\right)=2x+10\)

-,- mik ko rõ đề ạ, sai thì ibox ạ.Cảm ơn

x2−6x+5=0

2x2+7x+9=0

4x2−7x+3=0

2(x+5)=x2+5x

\(\frac{7x-12}{5x-2}=\frac{9-7x}{-5x+1}\)

\(=>\frac{2x-10}{5x-2}+1=\frac{-7x+9}{-5x+1}=\frac{-2x+8}{-5x+1}+1\)

\(=>\frac{2x-10}{5x-2}=\frac{-2x+8}{-5x+1}=\frac{-\left(2x-8\right)}{-\left(5x-1\right)}=\frac{2x-8}{5x-1}\)

\(=>\frac{2x-10}{5x-2}=\frac{2x-8}{5x-1}\)

\(=>\frac{5x-1}{5x-2}=\frac{2x-8}{2x-10}\)

\(=>\frac{-1}{5x-2}=\frac{-2}{2x-10}\)

\(=>-2x+10=-10x+4\)

\(=>-2x+10x=4-10=-6\)

\(=>8x=-6\)

\(=>x=\frac{-6}{8}=\frac{-3}{4}\)

P/s ko chắc :v

Ta có: \(\frac{7x-12}{5x-2}=\frac{7x-9}{5x-1}\)

     \(\Rightarrow\left(7x-12\right).\left(5x-1\right)=\left(7x-9\right).\left(5x-2\right)\)

    \(\Leftrightarrow35x^2-7x-60x+12=35x^2-14x-45x+18\)

    \(\Leftrightarrow\left(35x^2-35x^2\right)-\left(7x+60x-14x-45x\right)=18-12\)

    \(\Leftrightarrow8x=6\)

    \(\Leftrightarrow x=\frac{3}{4}\)

Vậy \(\Leftrightarrow x=\frac{3}{4}\)

\(\frac{7x-12}{5x-2}=\frac{9-7x}{-5x+1}\)

\(\left(7x-12\right)\left(-5x+1\right)=\left(9-7x\right)\left(5x-2\right)\)

\(-35x^2+7x+60x-12=45x-18-35x^2+14x\)

\(67x-12=59x-18\)

\(67x-12-59x=18\)

\(8x-12=-18\)

\(8x=-18+12\)

\(8x=-6\)

\(x=-\frac{6}{8}=-\frac{3}{4}\)

a) x=0

b) x=0

c) x=0

d)x=x

a b c d 

x=x

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

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

\(\Leftrightarrow x\left(x-1\right)-5\left(x-1\right)=0\)

\(\Leftrightarrow\left(x-1\right)\left(x-5\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}x-1=0\\x-5=0\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=1\\x=5\end{cases}}\)

\(2x^2+7x+9=0\)

Đề sai??

\(4x^2-7x+3=0\)

\(\Leftrightarrow4x^2-4x-3x+3=0\)

\(\Leftrightarrow4x\left(x-1\right)-3\left(x-1\right)=0\)

\(\Leftrightarrow\left(x-1\right)\left(4x-3\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}x-1=0\\4x-3=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=1\\x=\frac{3}{4}\end{cases}}\)

\(2\left(x+5\right)=x^2+5x\)

\(\Leftrightarrow2x+10=x^2+5x\)

\(\Leftrightarrow x^2+5x-2x-10=0\)

\(\Leftrightarrow x^2+3x-10=0\)

\(\Leftrightarrow x^2+5x-2x-10=0\)

\(\Leftrightarrow x\left(x+5\right)-2\left(x+5\right)=0\)

\(\Leftrightarrow\left(x+5\right)\left(x-2\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}x+5=0\\x-2=0\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=-5\\x=2\end{cases}}\)