P(x) , Q(x) là số vô tỉ hay số hữu tỉ biết:
P(x)=x6 +2x5-2x4+x3+5x2-6x-1
Q(x)=x7 -2x6 +2x5 -x4-5x3- 6x2 -6x+1
1)\(7\sqrt{3x-7}+\left(4x-7\right)\sqrt{7-x}=32\)
2)\(4x^2-11x+6=\left(x-1\right)\sqrt{2x^2-6x+6}\)
3)\(9+3\sqrt{x\left(3-2x\right)}=7\sqrt{x}+5\sqrt{3-2x}\)
4)\(\sqrt{2x^2+4x+7}=x^4+4x^3+3x^2-2x-7\)
5)\(\frac{6-2x}{\sqrt{5-x}}+\frac{6+2x}{\sqrt{5+x}}=\frac{8}{3}\)
6)\(2\left(5x-3\right)\sqrt{x+1}+\left(x+1\right)\sqrt{3-x}=3\left(5x+1\right)\)
7)\(\sqrt{7x+7}+\sqrt{7x-6}+2\sqrt{49x^2+7x-42}=181-14x\)
gpt:\(\sqrt{3x^2+6x+4}+\sqrt{2x^2+4x+11}=\left(1-x\right)\left(x+3\right)\)
\(\sqrt{3x^2+6x+7}+\sqrt{5x^2+10x+21}=5-x^2-2x\)
\(\sqrt{x^2-x+2}+\sqrt{x^2-3x+6}=2x\)
Giải các phương trình:
a) \(6x^4+5x^3-38x^2+5x+6=0\)
b) \(x^5+2x^4-3x^3-3x^2+2x+1=0\)
c) \(6x^5-29x^4+27x^3-29x+6=0\)
d) \(x^5+4x^4+3x^2-4x+1=0\)
e) \(x^4-3x^3-2x^2+6x+4=0\)
(Làm 1 câu cũng được)
Mn giúp mình vs
1, \(x^3-6x^2+10x-4=0\)
2, \(x^3+2x^2+2\sqrt{2}x+2\sqrt{2}=0\)
3, \(x^4+x^2-\sqrt{2}x+2=0
\)
4, \(x^4+5x^3-12x^2+5x+1=0\)
5, \(\left(x+5\right)\left(2x+12\right)\left(2x+20\right)\left(x+12\right)=3x^2\)
6, \(\left(x^2-5x+1\right)\left(x^2-4\right)=6\left(x-1\right)^2\)
7, \(x^4-9x^3+16x^2+18x+4=0\)
\(\left(5\right)\sqrt{x+3-4\sqrt{x-1}}\sqrt{x+8+6\sqrt{x-1}}=5\)
\(\left(6\right)2x^2+3x+\sqrt{2x^2+3x+9}=33\)
\(\left(7\right)\sqrt{3x^2+6x+12}+\sqrt{5x^4-10x^2+30}=8\)
\(\left(8\right)x+y+z+8=2\sqrt{x-1}+4\sqrt{y-2}+6\sqrt{z-3}\)
Bài 1 Giai pt
\(a,2x^2+2x+1=\sqrt{4x+1}\)
\(b,x^2-6x+26=6\sqrt{2x+1}\)
\(c,4\sqrt{x+1}=x^2-5x+4\)
\(d,x^2+2015x-2014=2\sqrt{2017x-2016}\)
\(e,\sqrt{4x+1}-\sqrt{3x-2}=\frac{x+3}{5}\)
\(f,2x^2-5x+5=\sqrt{5x-1}\)
\(\sqrt{15-6\sqrt{6}}+\sqrt{33-12\sqrt{6}}\)
\(\sqrt{x^2+x+1}=x+1\)
\(\sqrt{4x^2-20x+25}+2x=5\)
\(\sqrt{x^2-2x+1}=4\)
\(\sqrt{3x^2+6x+7}+\sqrt{5x^2+10x+21}=5-2x-x^2\)
Giải pt
a)căn x^2-4x+4=x+3
a)căn 9x^2+12x+4=4x
a)căn x^2-8x+16=4-x
a)căn 9x^2-6x+1-5x=2
a)căn 25-10x+x^2-2x=1
a)căn 25x^2-30x+9=x-1
a)căn x^2-6x+9-x-5=0
a)2x^2-căn 9x^2-6x+1=-5
b)căn x+5=căn 2x
b)căn 2x-1=căn x-1
b)căn 2x+5=căn 1-x
b)căn x^2-x=căn 3-x
b)căn 3x+1=căn 4x-3
b)căn x^2-x=3x-5
b)căn 2x^2-3=căn 4x-3
b)căn x^2-x-6=căn x-3
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