Đk: \(x^2+5x+1\ge0\)
\(3x^2+2\sqrt{x^2+5x+1}=2-15x\)
\(\Leftrightarrow3\left(x^2+5x+1\right)+2\sqrt{x^2+5x+1}-5=0\)
\(\Leftrightarrow\left[{}\begin{matrix}\sqrt{x^2+5x+1}=1\\\sqrt{x^2+5x+1}=-\dfrac{5}{3}\left(vn\right)\end{matrix}\right.\)
\(\Leftrightarrow x^2+5x=0\Leftrightarrow\left[{}\begin{matrix}x=-5\left(N\right)\\x=0\left(N\right)\end{matrix}\right.\)
Kl: x=-5,x=0
1)Giải phương trình a)\(\sqrt{3x^2+6x+12}+\sqrt{5x^4-10x^2+9}=3-4x-2x^2\)
b)\(\sqrt[3]{x-2}+\sqrt{x+1}=3\)
Cần gấp giúp mình
15x2+2(x+1)\(\sqrt{x+2}\)=2-5x
Tìm điều kiện xác định
\(A=\sqrt{x^2-5x+6}\)
\(B=\dfrac{x}{\sqrt{7x^2-8}}\)
\(C=\sqrt{-9x^2+6x-1}-\dfrac{1}{\sqrt{x^2+x+2}}\)
\(D=\sqrt{3-x^2}-\sqrt{\dfrac{2021}{3x+2}}\)
\(E=\sqrt{\dfrac{3x^2}{2x+1}-1}\)
\(F=\sqrt{25x^2-10x+1}+\dfrac{1}{1-5x}\)
mọi người giải gúp mình với. Cần cực gấp \(a,\left\{{}\begin{matrix}3x+2y=-2\\-x+4y=3\end{matrix}\right.b,\left\{{}\begin{matrix}x+2y=11\\5x-3y=3\end{matrix}\right.c,\left\{{}\begin{matrix}10x-9y=1\\15x+21y=36\end{matrix}\right.d,\left\{{}\begin{matrix}2x+y=3\\x+y=2\end{matrix}\right.e,\left\{{}\begin{matrix}x+y=2\\2x-3y=9\end{matrix}\right.f,\left\{{}\begin{matrix}x-2y=11\\5x+3y=3\end{matrix}\right.g,\left\{{}\begin{matrix}3x-y=5\\2x+3y=18\end{matrix}\right.h,\left\{{}\begin{matrix}5x+3y=-7\\3x-y=-8\end{matrix}\right.\)
Tìm x biết
a, \(2\sqrt{2x}\)-\(5\sqrt{8x}\)+\(7\sqrt{15x}\)= 28
b, \(\sqrt{4x-24}\)+ \(\sqrt{x-5}\)- \(\frac{1}{2}\sqrt{9x-45}\) = 4
c,\(\sqrt{\frac{3x-2}{x+1}}\)=3
d,\(\frac{\sqrt{5x-1}}{\sqrt{x+2}}\)=2
a)\(\sqrt{x^2+2x+10}+x^2+2x+8=0\)
b)\(15x-2x^2-5=\sqrt{2x^2-15x+11}\)
c)\(\sqrt{9x^2+45}+\sqrt{16x^2+80}+3\sqrt{\frac{x^2+5}{16}}-\frac{1}{4}\sqrt{\frac{25x^2+15}{9}}=9\)
d)\(3x^2+21x+18+2\sqrt{x^2+7x+7}=2\)
e)\(\sqrt{x^2+3x+2}-2\sqrt{2x^2+6x+2}=-\sqrt{2}\)
f)\(\sqrt{x-1}+\sqrt{x+3}-\sqrt{x^2+2x-3}-1=0\)
\(\sqrt{3x^2-5x+1}-\sqrt{x^2-2}=\sqrt{3\left(x^2-x-1\right)}-\sqrt{x^2-3x+4}\)
Giải các phương trình:
a) \(\left(3x-1\right)\left(3x+1\right)=x\left(1+8\sqrt{x+1}\right)\)
b) \(5x^2-5x\sqrt{x^2+x+4}+2x+5=0\)
c) \(9x^2+8x+9=9\left(x+1\right)\sqrt{2x^2+1}\)
d) \(5x^2+2x+2=5x\sqrt{x^2+x+1}\)
e) \(5x^2+20x-12=5\left(x-2\right)\sqrt{3x^2+x}\)
1. Thu gọn : \(\sqrt{33-8\sqrt{7}}\)
2. Tìm x: \(\sqrt{4x}-3\sqrt{x}+2\sqrt{15x}=18\)
3. Rút gọn: B=\(\dfrac{1}{\sqrt{11-2\sqrt{30}}}-\dfrac{3}{7-2\sqrt{10}}\). Giúp mình với nha, mình đang cần rất gấp, gấp lắm luôn, cảm ơn
