\(< =>\left(2x^2+2\right)^2=16\left(x^4+1\right)\)
\(< =>4x^4+8x^2+4=16x^4+16\)
\(< =>12x^4-8x^2+12=0\)
\(< =>\left(12x^4-8x^2+\dfrac{4}{3}\right)+\dfrac{32}{3}=0\)
\(< =>\left(2\sqrt{3}x^2-\dfrac{2}{\sqrt{3}}\right)^2+\dfrac{32}{3}=0\) (Vô lí)
=> pt vô nghiệm
Giải các phương trình sau:
1) \(\sqrt{3x^2+5x+8}-\sqrt{3x^2+5x+1}=1\)
2) \(x^2-2x-12+4\sqrt{\left(4-x\right)\left(2+x\right)}=0\)
3) \(3\sqrt{x}+\dfrac{3}{2\sqrt{x}}=2x+\dfrac{1}{2x}-7\)
4) \(\sqrt{x}-\dfrac{4}{\sqrt{x+2}}+\sqrt{x+2}=0\)
5)\(\left(x-7\right)\sqrt{\dfrac{x+3}{x-7}}=x+4\)
6) \(2\sqrt{x-4}+\sqrt{x-1}=\sqrt{2x-3}+\sqrt{4x-16}\)
7) \(\sqrt{x+2\sqrt{x-1}}+\sqrt{x-2\sqrt{x-1}}=\dfrac{x+3}{2}\)
Giúp mình với ajk, mink đang cần gấp
Giai pt
1,\(\sqrt{x+8-6\sqrt{x-1}}\)=4
2,\(\sqrt{x+6-2\sqrt{x+2}}\)+\(\sqrt{x+11-6\sqrt{x+2}}\)=1
3,\(\sqrt{x-3-2\sqrt{x-4}}\)+\(\sqrt{x-4\sqrt{x-4}}\)=1
4,\(\sqrt{x-2+\sqrt{2x+5}}\)+\(\sqrt{x+2+3\sqrt{2x-5}}\)=\(\dfrac{7}{2}\)
5,\(\sqrt{2x+4+6\sqrt{2x-5}}\)+\(\sqrt{2x-4-2\sqrt{2x-5}}\)=4
6,\(\sqrt{\dfrac{1}{4}x^2+x+1}\)-\(\sqrt{6-2\sqrt{5}}\)=0
7,x+\(\sqrt{x+\dfrac{1}{2}}\)+\(\sqrt{x+\dfrac{1}{4}}\)=2
8,\(\sqrt{\left(x-1\right)+4-4\sqrt{x-1}}+\sqrt{x-1-6\sqrt{x-1+9}}\)=1
9,\(\sqrt{x+2\sqrt{x-1}}\)+\(\sqrt{x-2\sqrt{x-1}}\)=\(\dfrac{x+3}{2}\)
2 ( 2x+1 ) \sqrt{ x+1 } + ( 4-x ) \sqrt{ 2-2x } = 6 \sqrt{ x ^{ 2 } +2 }
giải pt
a) \(\sqrt{3x-2}-\sqrt{5-x}=\sqrt{2x-4}\)
b) 2(1-x)\(\sqrt{x^2+2x-1}\) = 4-2x
Tìm x:
a.\(\sqrt{4-\sqrt{4+x}}=x\)
b.\(4\left(\sqrt{x-1}-3\right)x^2+\left(13\sqrt{x+1}-8\right)x-4\sqrt{x-1}-3=0\)
c.\(\sqrt{2x-3}+2\sqrt{x-3}\ge3\sqrt[4]{2x^2+x-6}\)
a)\(\sqrt{4x-1}+\sqrt{4x^2-1}=1\)
b)\(x+4\sqrt{x+3}+2\sqrt{3-2x}=11\)
c)\(\sqrt{x}-x=1-\sqrt{2x+1}\)
d)\(\sqrt{x}+\sqrt{4-x}-2=-x\)
e)\(\sqrt{4+x}+x=\sqrt{4+12x}\)
gpt :A= \(2x^2-5x-1=\sqrt{x+2}+\sqrt{4-x}\)
B= \(\sqrt{x^2-2x+5}+2\sqrt{4x+5}=x^3-2x^2+5x+4\)
\(\sqrt[4]{2x+1}+\sqrt[4]{1-x}=\sqrt[4]{x+2}\)
Giải phương trình:
a) \(5x^2-10x=4\left(x-1\right)\sqrt{x^2-2x+2}\)
b) \(\sqrt{2x^2+22x+29}-x-2=2\sqrt{2x+3}\)
c) \(x^3-7x^2+9x+12=\left(x-3\right)\left(x-2+5\sqrt{x-3}\right)\left(\sqrt{x-3}-1\right)\)
Giai pt:
a, \(x^2+\sqrt[3]{x^4-x^2}=2x+1\)
b, \(x+1+\sqrt{x^2-4x+1}=3\sqrt{x}\)
c, \(\sqrt{2x^2+7x+10}+\sqrt{2x^2+x+4}=3\left(x+1\right)\)
d, \(2\left(x^2-3x+2\right)=3\sqrt{x^3+8}\)
Mong moi nguoi giup do, em can gap !!!
