\(\sqrt{9-45}+\dfrac{1}{2}\sqrt{4x-20}=8\)

\(\sqrt{3x^2-6x+1}=1\)

\(\sqrt{4x^2-4x+1}=9\)

so sánh \(\dfrac{x+2}{x\sqrt{x}-1}+\dfrac{\sqrt{x}+1}{x+\sqrt{x}+1}+\dfrac{1}{1-\sqrt{x}}\left(x\ge0;x\ne1\right)\) với `1/3`.

biết a,b,c>0. tìm min \(A=\dfrac{a}{\sqrt{a^2+9bc}}+\dfrac{b}{\sqrt{b^2+9ac}}+\dfrac{c}{\sqrt{c^2+9ab}}\)

tìm hằng số `a,b,c` sao cho `ax^3 +bx^2 +c` chia hết cho `x+2` và chia `x^2 -1` dư 5.

\(x^2-6x+2=2\left(2-x\right)\sqrt{2x-1}\)

\(\sqrt{x^2-5x-6}=x-2\)

\(\sqrt{x^2-8x+16}=4-x\)

\(\sqrt{x^2-2x}=2-x\)

\(\sqrt{2x+27}-6=x\)

\(\sqrt{\left(x-2\right)\left(x+3\right)}=5\)

\(\sqrt{\left(2x+3\right)^2}=x-5\)

\(\sqrt{x^2-6x+9}=x+7\)

\(\sqrt{2x-3}=x-1\)

tính ạ

\(\dfrac{sin57^o}{cos33^o}+2sin^248^o\left(2024-2cos^248^o\right)\)

Tìm a nguyên để hệ \(\left\{{}\begin{matrix}\left(a+1\right)x-ay=5\\x+ay=a^2+4a\end{matrix}\right.\) có 1 nghiệm x,y sao cho x,y nguyên