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: (√x – 1)/ √x + (2 √x + 1)/ x + √x (rút gọn)

Home/ Toán Lớp 9: (√x – 1)/ √x + (2 √x + 1)/ x + √x (rút gọn)

Toán Lớp 9: (√x – 1)/ √x + (2 √x + 1)/ x + √x (rút gọn)

Tháng Mười Hai 20, 2022 Toán học 2 Comments 0 views

Toán Lớp 9: (√x – 1)/ √x + (2 √x + 1)/ x + √x (rút gọn)

Comments ( 2 )

  1. truonganhthi
    truonganhthi
    20 Tháng Mười Hai, 2022 at 4:58 sáng
    Reply
    (\sqrt{x}-1)/(\sqrt{x})+(2\sqrt{x}+1)/(x+\sqrt{x}) ( x >= 0 )
    =((\sqrt{x}-1)(\sqrt{x}+1))/(\sqrt{x}(\sqrt{x}+1))+(2\sqrt{x}+1)/(\sqrt{x}(\sqrt{x}+1))
    =(x-1+2\sqrt{x}+1)/(\sqrt{x}(\sqrt{x}+1))
    =(x+2\sqrt{x})/(\sqrt{x}(\sqrt{x}+1))
    =(\sqrt{x}(\sqrt{x}+2))/(\sqrt{x}(\sqrt{x}+1))
    =(\sqrt{x}+2)/(\sqrt{x}+1)
     

  2. baoquyen
    baoquyen
    20 Tháng Mười Hai, 2022 at 4:57 sáng
    Reply
    $\frac{1}{x-\sqrt{x}}-\frac{2\sqrt{x}}{x-1}+\frac{1}{x+\sqrt{x}}\left(ĐK:x>0;x\ne1\right)$
    $=\frac{1}{\sqrt{x}\left(\sqrt{x}-1\right)}-\frac{2\sqrt{x}}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}+\frac{1}{\sqrt{x}\left(\sqrt{x}+1\right)}$
    $=\frac{\sqrt{x}+1-2x+\sqrt{x}-1}{\sqrt{x}\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}=\frac{2\sqrt{x}\left(1-\sqrt{x}\right)}{\sqrt{x}\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}=-\frac{2}{\sqrt{x}+1}$
     

Leave a reply

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

Diệu Hằng

About Diệu Hằng