???

=> 5^x  . 5^2 + 3 . 5^x=700

=>5^x(5^2 + 3)=700

=>5^x(25+3)=700

=>5^x . 28 = 700

=>5^x = 25

=>5^x=5^2

=>x=2

e tk:

https://vietjack.com/van-mau-lop-7/images/so-do-tu-duy-duc-tinh-gian-di-cua-bac-ho-a01.PNG

\(P=\left(\dfrac{x^2+1}{x^2-9}-\dfrac{x}{x+3}+\dfrac{5}{3-x}\right):\left(\dfrac{2x+10}{x+3}-1\right)\)

\(=\left(\dfrac{x^2+1}{\left(x-3\right)\left(x+3\right)}-\dfrac{x\left(x-3\right)}{\left(x-3\right)\left(x+3\right)}-\dfrac{5\left(x+3\right)}{\left(x-3\right)\left(x+3\right)}\right):\left(\dfrac{2x+10}{x+3}-\dfrac{x+3}{x+3}\right)\)

\(=\left(\dfrac{x^2+1-x^2+3x-5x-15}{\left(x-3\right)\left(x+3\right)}\right):\left(\dfrac{2x+10-x-3}{x+3}\right)\)

\(=\left(\dfrac{-2x-14}{\left(x-3\right)\left(x+3\right)}\right):\left(\dfrac{x+7}{x+3}\right)\)

\(=\dfrac{-2\left(x+7\right)}{\left(x-3\right)\left(x+3\right)}.\dfrac{x+3}{x+7}\)

\(=\dfrac{-2}{x-3}\)

đk : x khác -3 ; 3 ; -7 

\(P=\left(\dfrac{x^2+1+x\left(x-3\right)+5x+15}{x^2-9}\right):\left(\dfrac{2x+10-x-3}{x+3}\right)\)

\(=\dfrac{2x^2+1+2x+15}{x^2-9}:\dfrac{x+7}{x+3}=\dfrac{2x^2+2x+16}{\left(x-3\right)\left(x+7\right)}\)

d

a

\(\left|2x-3\right|=3-2x\)

\(ĐK:x\le\dfrac{3}{2}\)

\(\Leftrightarrow\left[{}\begin{matrix}2x-3=3-2x\\3-2x=3-2x\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\0=0\left(đúng\right)\end{matrix}\right.\)

Vậy \(S=\left\{x\in R;x=\dfrac{3}{2}\right\}\)

THAM KHẢO

Gọi x là v.tốc dự định của xe(x>0, km/h)

Nửa quãng đường xe đi là: 120:2=60(km)

=> Vận tốc đi nửa quãng đường là: 120x(h)120x(h)

Vì nửa qquangx đường sau xe đi với thời gian là: 60x+60x+10=120x−0.560x+60x+10=120x−0.5

Gải được x=40(tmđk)

Vậy v.tốc dự định là 40km/h