Giải các phương trình sau:
a) \(\left(x^2-x+1\right)^4+4x^2\left(x^2-x+1\right)^2=5x^4\)
b) \(2x^4-5x^3-9x^2+11x+4=0\)
c) \(8x^3+4x^2+2x-3=0\)
d) \(\frac{10x^4}{\left(1+x^2\right)^2}-\frac{3x^2}{1+x^2}-1=0\)
e) \(3x^4+4x^3-27x^2+8x+12=0\)
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, \(x^4-9x^3+16x^2+18x+4=0\)
(1) giải pt quy về \(ax^2+bx+c=0\)
1) \(x^2=3x\) 2) \(x^2-3x=4\)
3) \(x^4-5x^2+6=0\) 4) \(x^3=9x\)
5) \(\left(x+2\right)\left(x-3\right)=x^2-4\) 6) \(\dfrac{x+11}{x^2-1}-\dfrac{x-1}{x+1}=\dfrac{2\left(x+7\right)}{x+1}\)
giúp mk vs mk cần gấp
giải dùm mình mấy pt này vs !! mình chưa hc mấy pt bậc này mà thầy cho bt về nhà !! các bạn giúp mình vs !!!!
1/ \(x^3-3x^2+2=0\)
2/ \(2x^4-5x^3+6x^2-5x+2=0\)
3/ \(x\left(x+1\right)\left(x+2\right)\left(x+3\right)=24\)
4/ \(\left(x+1\right)^4+\left(x+3\right)^4=2\)
5/ \(x^5-5x^4+8x^3+8x^2-5x+1=0\)
giải phương trình sau:
a) \(4x^2+\left(8x-4\right).\sqrt{x}-1=3x+2\sqrt{2x^2+5x-3}\)
b) \(8x^3-36x^2+\left(1-3x\right)\sqrt{3x-2}-3\sqrt{3x-2}+63x-32=0\)
c) \(2\sqrt[3]{3x-2}-3\sqrt{6-5x}+16=0\)
d) \(\sqrt[3]{x+6}-2\sqrt{x-1}=4-x^2\)
\(\left(1\right)\sqrt{x^2-9}-2\sqrt{x-3}=0\)
\(\left(2\right)\sqrt{4x+1}-\sqrt{3x-4}=1\)
\(\left(3\right)\sqrt{x^2-10x+25}=5-x\)
\(\left(4\right)\sqrt{x^2-8x+16}=x+2\)
1)\(3x^3-13^2+30x-4=\sqrt{\left(6x+2\right)\left(3x-4\right)}\)
2)\(2\left(x^2+x+1\right)^2-7\left(x-1\right)^2=13\left(x^3-1\right)\)
3)\(\left(x^2-16\right)\left(x-3\right)^2+9x^2=0\)
4)\(x\left(x^2+9\right)\left(x+9\right)=22\left(x-1\right)^2\)
\(\left(5\right)\sqrt{x+3-4\sqrt{x-1}}\sqrt{x+8+6\sqrt{x-1}}=5\)
\(\left(6\right)2x^2+3x+\sqrt{2x^2+3x+9}=33\)
\(\left(7\right)\sqrt{3x^2+6x+12}+\sqrt{5x^4-10x^2+30}=8\)
\(\left(8\right)x+y+z+8=2\sqrt{x-1}+4\sqrt{y-2}+6\sqrt{z-3}\)
Giải phương trình
\(\left(x^2-x+1\right)^4-10x^2\left(x^2-x+1\right)^2+9x^4=0\)