\(2x^4-6x^3+x^2+6x-3=0\)
\(\Leftrightarrow2x^4-2x^3-4x^3+4x^2-3x^2+3x+3x-3=0\)
\(\Leftrightarrow2x^3\left(x-1\right)-4x^2\left(x-1\right)-3x\left(x-1\right)+3\left(x-1\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(2x^3-4x^2-3x+3\right)=0\)
Đã có đáp án:
2x^4-6x^3+x^2+6x-3=0
2x^4-6x^3-3x^2-2x^2-6x-3=0
2x^2(x^2-1)-6x(x^2-1)+3(x^2-1)=0
(x^2-1)(2x^2-6x+3)=0
=> { x^2-1=0 =>x=-1;1
Giả phương trình :(*) 2x^2-6x+3=0
4x^2-12x-6=0
(2x)^2-2.2x.3-3=0
(2x-3)^2- (√3)^2=0
( 2x-3)^2=(√3)^2
=> 2x-3=-√3 => 2x= 3-√3 => x=(3-√3)/2
2x-3=√3 => 2x=√3+3 => x=(√3+3)/2
Vậy x....