1.2x2 -3x+1=0
2x2 –x-2x+1=0
x(2x-1)-(2x-1)=0
(2x-1)(x-1)=0
2x-1=0
x-1=0
x1=1/2
x2=1
2.x4+2x2+1=0
x=/R
3. x4-20x2+2
x4+4x3-4x3-2x2-16x2-2x2+8x-8x+4=0
x2(x2+4x-2)-4x (x2+4x-2)-2( x2+4x-2)=0
(x2+4x-2)(x2+4x-2)=0
X2+4x-2=0
X2-4x-2
X1=-2-/6
X2 =2-/6
X3 =-2+/6
X4=2+/6
4. 2x2+x-7>0
X=-1+/_57/4
X=-1-/_57/4
2(x- -1+/_57/4)(x- -1-/_57/4)>0
(x- -1+/_57/4)(x- -1-/_57/4)>0
{-1+/_57/4
{-1-/_57/4
{-1+/_57/4
{-1-/_57/4
X =[-1+/_57/4, +8
X= [-8 ,-1-/_57/4
X =[[-8 ,-1-/_57/4] U [-1+/_57/4, +8]
5.x2+8x+12<0
X2 +6x+2x+12<0
X(x+6)+2(x+6)<0
(x+6)(x+2)<0
{x+6<0
{x+2>0
{x+6>0
{x+2<0
{x<-6
{x>-2
{x>-6
{x<-2
X=0/
6.x2-4x+3/x2+3>0
X2 -4x=3>0
X2-x-3x+3>0
X(x-1)-3(x-1)>0
(x-1)(x-3)>0
{x-1>0
{x-3>0
{ x-1>0
{ x-3>0
{x>1
{x>3
{x<1
{x<3
X=[-8, 1] [3,+8]
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