\(ĐK:x\ge3\)
\(\Leftrightarrow5x^2+4=x^2+22x-18+10\sqrt{x.x-6.x+3}\)
\(\Leftrightarrow4x^2-18x+18=10\sqrt{x+3.x^2-6x}=0\)
\(\Leftrightarrow4.x^2-6x+6.x+3-10\sqrt{x+3.x^2-6x}=0\)
\(\Leftrightarrow2\sqrt{x^2-6x}-3\sqrt{x+3}.\sqrt{x^2-6x}-\sqrt{x+3}=0\)
giải pt: \(5x^2+4x+7-4x\sqrt{x^2+x+2}-4\sqrt{3x+1}=0\)
Giải hệ pt \(\hept{\begin{cases}\sqrt{x^2-xy+y^2}+\sqrt{x}=y+\sqrt{y}\\\sqrt{5x^2+4y}-\sqrt{x^2-3x-18}=\sqrt{x}+4\sqrt{y}\end{cases}}\)
Ai dậy r giúp vs :33 1 câu cx đc nhé :v toàn giải pt hết nhé
1) \(4x^2+\left(8x-4\right)\sqrt{x}-1=3x+2\sqrt{2x^2+5x-3}.\)
2) \(\left(5x+8\right)\sqrt{2x-1}+7x\sqrt{x+3}=9x+18-\left(x+26\right)\sqrt{x-1}\)
3) \(\sqrt[3]{3x+1}+\sqrt[3]{5-x}+\sqrt[3]{2x-9}-\sqrt[3]{4x-3}=0\)
4) \(\left(x+17\right)\sqrt{4-x}+\left(20-x\right)\sqrt{x+1}-9\sqrt{4-x}.\sqrt{x+1}=36\)
Giải PT
\(\sqrt{4x-20}-3\sqrt{\frac{x-5}{9}}=\sqrt{1-x}\)
\(\sqrt{4x+8}+2\sqrt{x+2}-\sqrt{9x+18}=1\)
\(\sqrt{3x^2-4x+3}=1-2x\)
\(\sqrt{16\left(x+1\right)}-\sqrt{9\left(x+1\right)}=4\)
giải pt:
a) \(4\sqrt{x-2}+\sqrt{9x-18}-\sqrt{\dfrac{x-2}{4}}=26\)
b) \(3x+\sqrt{4x^2-8x+4}=1\)
c) \(\left(2\sqrt{x}+1\right)\left(\sqrt{x}-2\right)=7\)
giúp mk vs ạ mk cần gấp
giải pt:
a)\(\sqrt{4x+1}\)-\(\sqrt{3x-2}\)=\(\frac{x+2}{5}\)
b)\(\sqrt{3x^2-7x+3}\)-\(\sqrt{x^2-2}\)=\(\sqrt{3x^2-5x-1}\)-\(\sqrt{x^2-3x+4}\)
a) giải hệ pt: \(\hept{\begin{cases}2x^2-y^2+xy-5x+y+2=\sqrt{y-2x+1}-\sqrt{3-3x}\\x^2-y-1=\sqrt{4x+y+5}-\sqrt{x+2y-2}\end{cases}}\)
b) giải hệ pt: \(\hept{\begin{cases}x^2+y^2=5\\x^3+2y^3=10x-10y\end{cases}}\)
Giải phương trình:
a)\(\sqrt{\sqrt{5}-\sqrt{3x}}=\sqrt{8+2\sqrt{15}}\)
b)\(\sqrt{4x-20}-3\sqrt{\dfrac{x-5}{9}}=\sqrt{1-x}\)
c) \(\sqrt{4x+8}+2\sqrt{x+2}-\sqrt{9x+18}=1\)
d) \(\sqrt{x^2-6x+9}+x=11\)
e) \(\sqrt{3x^2-4x+3}=1-2x\)
f) \(\sqrt{16\left(x+1\right)}-\sqrt{9\left(x+1\right)}=4\)
g) \(\sqrt{9x+9}+\sqrt{4x+4}=\sqrt{x+1}\)
giải bất pt
a) \(x^3+\left(3x^2-4x-4\right)\sqrt{x+1}\le0\)
b) \(\sqrt{x^2-x-2}+3\sqrt{x}\le\sqrt{5x^2-4x-6}\)
