Register Now

Login

Lost Password

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

222-9+11+12:2*14+14 = ? ( )

Toán Lớp 9: Rút gọn A=√(x-2021)² +√(x+2021)² với -2021<=x<=2021

Toán Lớp 9: Rút gọn A=√(x-2021)² +√(x+2021)² với -2021<=x<=2021

Comments ( 2 )

  1. ~rai~
    \(A=\sqrt{(x-2021)^2}+\sqrt{(x+2021)^2}\\\quad=|x-2021|+|x+2021|\\\quad=2021-x+x+2021\quad\text{(do }-2021\le x\le 2021)\\\quad=4042.\\\text{Áp dụng hằng đẳng thức:}\sqrt{A^2}=|A|.\)

  2. Giải đáp:
    A=4042(-2021<=x<=2021)
    Lời giải và giải thích chi tiết:
    A=\sqrt{(x-2021)^2}+\sqrt{(x+2021)^2}(-2021<=x<=2021)
    A=|x-2021|+|x+2021|
    -2021<=x<=2021
    =>{(x+2021>=0),(x-2021<=0):}
    =>{(|x+2021|=x+2021),(|x-2021|=2021-x):}
    =>A=2021-x+x+2021
    =>A=4042

Leave a reply

222-9+11+12:2*14+14 = ? ( )

About Thúy Mai