Tham khảo:
Giải pt: \(\sqrt{x-2} \sqrt{4-x}=2x^2-5x-1\) - Hoc24
Tham khảo:
Giải pt: \(\sqrt{x-2} \sqrt{4-x}=2x^2-5x-1\) - Hoc24
giải pt \(\sqrt{x-2}+\sqrt{4-x}+\sqrt{2x-5}=2x^2-5x\)
2) \(x^2+x+2=\sqrt{5x+5}+\sqrt{3x+2}\)
giải pt \(x^2+\left(3-x\right)\sqrt{2x-1}=x\left(3\sqrt{2x^2-5x+2}-\sqrt{x-2}\right)\)
giải pt
a) \(\sqrt{x^2+x+1}+\sqrt{3x^2+3x+2}=\sqrt{5x^2+5x-1}\)
b) \(\sqrt{x^2+x+4}+\sqrt{x^2+x+1}=\sqrt{2x^2+2x+9}\)
c) \(\sqrt{3x^2-5x+7}+\sqrt{3x^2-7x+2}=3\)
d) \(\sqrt{x^2+3x+2}=\sqrt{2x^2+9x+7}-\sqrt{x^2+6x+5}\)
giải pt
a) \(\sqrt{2x^2+5x+2}-2\sqrt{2x^2+5x-6}=0\)
b) \(\sqrt[5]{\frac{16x}{x-1}}+\sqrt[5]{\frac{x-1}{16x}}=\frac{5}{2}\)
c) \(\sqrt{6x^2-12x+7}+2x=x^2\)
d) \(x\left(x+1\right)-\sqrt{x^2+x+4}+2=0\)
e) \(\sqrt{3x^2+6x+4}=2-2x-x^2\)
giải pt
a) \(\sqrt[3]{x+6}+\sqrt{x-1}=x^2-1\)
b) \(\sqrt[3]{x-9}+2x^2+3x=\sqrt{5x-1}+1\)
c) \(\sqrt{3x+1}-\sqrt{6-x}+3x^2-14x-8=0\)
d) \(\sqrt{x+1}-2\sqrt{4-x}=\frac{5\left(x-3\right)}{\sqrt{2x^2+18}}\)
e) \(x^3+5x^2+6x=\left(x+2\right)\left(\sqrt{2x+2}+\sqrt{5-x}\right)\)
giải pt
a) \(\sqrt{4-x}-\sqrt{x+1}=\sqrt{1+2x}\)
b) \(5x-\sqrt{5x+1}\left(\sqrt{14x+7}-\sqrt{2x+3}\right)+1=0\)
c) \(\sqrt[3]{2-2x}=1-\sqrt{2x-1}\)
d) \(\sqrt{5-4x}+\sqrt[3]{x+7}=3\)
giải pt
a) \(\sqrt{x^2+2}+\sqrt{x^2+7}=\sqrt{x^2+x+3}+\sqrt{x^2+x+8}\)
b) \(\sqrt{7-x^2+x\sqrt{x+5}}=\sqrt{3-2x-x^2}\)
c) \(\sqrt{10x+1}+\sqrt{3x-5}=\sqrt{9x+4}+\sqrt{2x-2}\)
d) \(\sqrt{x+7}+\sqrt{4x+1}=\sqrt{5x+6}+2\sqrt{2x+3}\)
e) \(\sqrt{x+4+2\sqrt{x+3}}=x+4\)
giải pt
a) \(\sqrt{x+1}+\sqrt{x}+2\sqrt{x^2+x}=1-2x\)
b) \(\sqrt{x-2}-\sqrt{x+2}=2\sqrt{x^2-4}-2x+2\)
c) \(\sqrt{2x+3}+\sqrt{x+1}=3x+2\sqrt{2x^2+5x+3}-16\)
d) \(2\sqrt{x}\left(\sqrt{x+1}-2\sqrt{x}\right)+\sqrt{x+1}+\sqrt{x}=1-6x\)
e) \(x^2+2x+\sqrt{x+3}+2x\sqrt{x+3}=9\)
Giải hệ pt
\(\left\{{}\begin{matrix}3\sqrt{2x+y}+\sqrt{x-2y+1}=5\\2\sqrt{x-2y+1}-5x=10y+9\end{matrix}\right.\)