Giải PT : \(\sqrt{3x+1}\) + \(\sqrt{5x+4}\) = \(3x^2\) - \(x\) + 3
Giải PT: \(\sqrt{x^2-3x+3}+\sqrt{x^2-3x+6}=3\)
giải pt : \(3\sqrt{3x-2}+6\sqrt{x-1}=7x-10+4\sqrt{3x^2-5x+2}\)
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) \(\sqrt{x+3}=3-\sqrt{6-x}\)
b) \(\sqrt{3x-2}-\sqrt{x-7}=1\)
c) \(\frac{1-\sqrt{3x+1}}{\sqrt{x-1}-7}=1\)
d) \(\frac{x}{\sqrt{7x-4}-3}=\frac{x}{\sqrt{x+1}}\)
e) \(\sqrt{3x-2}-\sqrt{x-7}=1\)
f) \(2\sqrt{\frac{3x+1}{2x-1}}-\sqrt{\frac{x-1}{2x-1}}=2\)
giải pt
a) \(\sqrt{x+1}+1=4x^2+\sqrt{3x}\)
b) \(3\left(2+\sqrt{x-2}\right)=2x+\sqrt{x+6}\)
c) \(\sqrt{2x^2+x+9}+\sqrt{2x^2-x+1}=x+4\)
d) \(\sqrt{x^2+15}=3x-2+\sqrt{x^2+8}\)
e) \(\sqrt[3]{x^2-x-1}+x^2+2=\sqrt[3]{2x-3}+3x\)
giải pt
a) \(\frac{3-2\sqrt{x^2+3x+2}}{1-2\sqrt{x^2-x+1}}=1\)
b) \(\sqrt{3x^2-5x+7}+\sqrt{3x^2-7x+2}=3\)
c) \(\sqrt{x^2+3x+2}+\sqrt{x^2+6x+5}=\sqrt{2x^2+9x+7}\)
d) \(\sqrt{x^2-1}-\sqrt{x^2+3}+\sqrt{5-x}=0\)
e) \(\left(x-1\right)\sqrt{1+x\sqrt{x^2+4}}=x^2-1\)
Giải pt
a) \(2\sqrt[3]{x^2+5x-2}=x\left(x+5\right)+2\)
b) \(3x^2-12x-5\sqrt{10+4x-x^2}+12=0\)
c) \(\left(x+5\right)\left(2-x\right)=3\sqrt{x^2+3x}\)
d) \(\sqrt{3-x+x^2}-\sqrt{2+x-x^2=1}\)
e) \(\sqrt{x^2-3x+3}+\sqrt{x^2-3x+6}=3\)
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) \(x^3+5x^2+6x=\left(x+2\right)\left(\sqrt{2x+2}+\sqrt{5-x}\right)\)