\(\sqrt{21-6\sqrt{6}}+\sqrt{9+2\sqrt{18}}-2\sqrt{6+3\sqrt{3}}\)

\(=3\sqrt{2}-\sqrt{3}+\sqrt{3}+\sqrt{6}-3\sqrt{2}-\sqrt{6}=0\)

\(\sqrt{2+4\sqrt{\sqrt{5}-2}}-\sqrt{3-\sqrt{5}}=\sqrt{\sqrt{5}-1}\)

mk......................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................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..........................................................................................................................................................................................................................................................................................................................................................................................................................................................2k8 :3

bạn có thể vô tìm ở đây

I

I

V

https://olm.vn/hoi-dap#collapseOne

2k4 đến 2k mấy

chăm chỉ tìm hiểu, khai phá kiến thức

Mik ko biet nhung chi tra loi cho vui thoi : ban vao thong tin xem co ko

áp dụng cách giải pt bậc 2 là xong mà bạn..

đây là bài toán cơ bản nên bạn xem lại SGK 

\(x^2+16x-225=0\)

\(\Rightarrow x^2-9x+25x-225=0\)

\(\Rightarrow x\left(x-9\right)+25\left(x-9\right)=0\)

\(\Rightarrow\left(x+25\right)\left(x-9\right)=0\)

\(\Rightarrow\orbr{\begin{cases}x+25-0\\x-9=0\end{cases}\Rightarrow\orbr{\begin{cases}x=-25\\x=9\end{cases}}}\)

ĐKXD : \(\hept{\begin{cases}x\ne-1\\x\ne-3\end{cases}}\)

\(\left(x+1\right)^4+\left(x+3\right)^4=2x^4+16x^3+60x^2+112x+82=2\)

\(\Rightarrow2\left(x^4+8x^3+30x^2+56x+41\right)=2\)

\(\Rightarrow x^4+8x^3+30x^2+56x+40=0\)

\(\Rightarrow\left(x+2\right)^2\left(x^2+4x+10\right)=0\)

\(\Rightarrow\hept{\begin{cases}\left(x+2\right)^2=0\\x^2+4x+10=0\end{cases}}\)

\(\left(x+2\right)^2=0\Rightarrow x=-2\)

Vì sao \(x^2+4x+10=0\)không có nghiệm?

Ta có biệt thức D của phương trình \(\left(x+2\right)^2=0\)trên là \(D=b^2-4ac=4^2-4\cdot1\cdot4=0\)

Vậy \(D=0\)

Tương tự bạn xét biệt thức D của pt x^2 +4x +10 sẽ < 0 nên pt trên không có nghiệm

Vì \(\sqrt{17}>\sqrt{15}\)

\(\Rightarrow\sqrt{33}-\sqrt{15}>\sqrt{33}-\sqrt{17}\)

\(\sqrt{36}-\sqrt{15}>\sqrt{33}-\sqrt{15}\Leftrightarrow6-\sqrt{15}>\sqrt{33}-\sqrt{15}\)

Vậy \(6-\sqrt{15}>\sqrt{33}-\sqrt{17}\)vì \(\sqrt{33}-\sqrt{15}>\sqrt{33}-\sqrt{17}\)

6= căn 36

căn 36 > căn 33 và căn 17 > căn 15 nên √33 - √17 < 6 - √15