a. Đề bài sai, pt không giải được
b.
ĐKXĐ: \(x\ge\dfrac{1}{3}\)
\(x^2+1-3\sqrt{3x-1}=0\)
\(\Leftrightarrow x^2-3x+1+3\left(x-\sqrt{3x-1}\right)=0\)
\(\Leftrightarrow x^2-3x+1+\dfrac{3\left(x^2-3x+1\right)}{x+\sqrt{3x-1}}=0\)
\(\Leftrightarrow\left(x^2-3x+1\right)\left(1+\dfrac{3}{x+\sqrt{3x-1}}\right)=0\)
\(\Leftrightarrow x^2-3x+1=0\)
giải pt:
a,\(\left(x+5\right)\left(2-x\right)=3\sqrt{x^2+3x}\)
b, \(\sqrt{5x^2+10x+1}=7-2x-x^2\)
c,\(\sqrt{2x^2+4x+1}=1-2x-x^2\)
giải pt:
a,\(\left(13-4x\right)\sqrt{2x-3}+\left(4x-3\right)\sqrt{5-2x}=2+8\sqrt{-4x^2+16x-15}\)
b,\(\left(9x-2\right)\sqrt{3x-1}+\left(10-9x\right)\sqrt{3-3x}-4\sqrt{-9x^2+12x-3}=4\)
c, \(\left(6x-5\right)\sqrt{x+1}-\left(6x+2\right)\sqrt{x-1}+4\sqrt{x^2-1}=4x-3\)
giaỉ pt:
a, \(\sqrt{x +1}+2\left(x+1\right)=x-1+\sqrt{1-x}+3\sqrt{1-x^2}\)
b, \(14\sqrt{x+35}+6\sqrt{x+1}=84+\sqrt{x^2+36x+35}\)
c, \(x\sqrt{2x+3}+3\left(\sqrt{x+5}+1\right)=3x+\sqrt{2x^2+13x+15}+\sqrt{2x+3}\)
giải pt:
a, \(2x^2-6x-1=\sqrt{4x+5}\)
b, \(18x^2+6x-29=\sqrt{12x+61}\)
c, \(4x^2-13x+5+\sqrt{3x+1}=0\)
c, \(4x^2-13x+5+\sqrt{3x+1}=0\)
giải pt:
a, \(2x^2-11x+21=3\sqrt[3]{4x-4}\)
b, \(\sqrt{x-3}+\sqrt[3]{x^2+1}+x^2+x-2=0\)
giải pt:
a, \(\sqrt[3]{64-5x}+\sqrt[3]{18+5x}=4\)
b, \(\sqrt{1+\sqrt{1-x^2}}\left(\sqrt{\left(1+x\right)^3}-\sqrt{\left(1-x\right)^3}\right)=2+\sqrt{1-x^2}\)
c, \(x^2-2x-3=\sqrt{x+3}\)
giải pt :
a, (x+5)(2-x)=3\(\sqrt{x^2+3x}\)
b, \(\sqrt[3]{\dfrac{2x}{x+1}}+\sqrt[3]{\dfrac{1}{2}+\dfrac{1}{2x}}=2\)
c,\(\sqrt[5]{\dfrac{16x}{x-1}}+\sqrt[5]{\dfrac{x-1}{16x}}=\dfrac{5}{2}\)
d, \(\sqrt{5x^2+10x+1}=7-2x-x^2\)
e, \(\sqrt{2x^2+4x+1}=1-2x-x^2\)
giải phương trình :
a,\(\sqrt{2x^2+13x+5}+\sqrt{2x^2-3x+5}=8\sqrt{x}\)
b, \(\sqrt{x^2-\dfrac{4}{3}}+2\sqrt{x^2-1}=x\)
giải phương trình :
a, \(\sqrt{x+1}+x+3=\sqrt{1-x}+3\sqrt{1-x^2}\)
b,\(\left(2x-3\right)\sqrt{3+x}+2x\sqrt{3-x}=6x-8+\sqrt{9-x^2}\)
c, \(2x^2-5x+22=5\sqrt{x^3-11x +20}\)
d, \(x^3-3x^2+2\sqrt{\left(x+2\right)^3}=6x\)