Gải phương trình sau
a)\(\sqrt{2x^2+4x+1}=1-x^2-2x\)
b)\(\sqrt{x+4}+\sqrt{x-4}=2x+2\sqrt{x^2-16}\)
c) (x+4)(x+1)-3\(\sqrt{x^2+x+2}=\sqrt{3x^2+3x}\)
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 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) \(\sqrt[3]{x+6}+\sqrt{x-1}=x^2-1\)
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 \(\sqrt{x-2}+\sqrt{4-x}+\sqrt{2x-5}=2x^2-5x\)
2) \(x^2+x+2=\sqrt{5x+5}+\sqrt{3x+2}\)
Giải các pt
A.\(\sqrt{x^2+2x}+\sqrt{2x-1}=\sqrt{3x^2+4x+1}\)
B.\(\sqrt{5x^2-14x+9}-\sqrt{x^2-x-20}=5\sqrt{x-1}\)
C.\(\sqrt{x^2-3x-2}+\sqrt{x+3}=\sqrt{x+2}+\sqrt{x^2+2x-3}\)
Mọi người giúp mình với <3<3<3<3<3thank you!!!
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) \(3\sqrt{x}+\frac{3}{2\sqrt{x}}=2x+\frac{1}{2x}-7\)
b) \(5\sqrt{x}+\frac{5}{2\sqrt{x}}=2x+\frac{1}{2x}+4\)
c) \(\sqrt{2x^2+8x+5}+\sqrt{2x^2-4x+5}=6\sqrt{x}\)
d) \(x+1+\sqrt{x^2-4x+1}=3\sqrt{x}\)
e) \(x^2+2x\sqrt{x-\frac{1}{x}}=3x+1\)
f) \(x^2-6x+x\sqrt{\frac{x^2-6}{x}}-6=0\)
g) \(\frac{3x^2}{3+\sqrt{x}}+6+2\sqrt{x}=5x\)
h) \(\frac{x^2}{4-3\sqrt{x}}+8=3\left(x+2\sqrt{x}\right)\)
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) \(\sqrt{x+4+2\sqrt{x+3}}=x+4\)