Mathematic Problems
2x5+x4-19x3+19x2-x-2=0
2x5+x4-19x3+19x2-x-2=0
x1=1
2x5+1x4-19x3+19x2-1x-2=0
21-1919-1-2--------------123-16320
x-1(2x4+3x3-16x2+3x+2)=0
2x4+3x3-16x2+3x+2=0
2x4+3x3-16x2+3x+2=0 ·1x2
2x4x2+3x3x2-16x2x2+3xx2+2x2=0
2x2+3x-16+3x+2x2=0
2x2+2x2+3x+3x-16=0
2x2+1x2+3x+1x-16=0
t=x+1x
t2=x+1x2=x2+1x2=x4+2x2+1x2=x4x2+2x2x2+1x2=x2+2+1x2
t2-2=x2-1x2
2t2-2+3t-16=0
2t2-4+3t-16=0
2t2+3t-20=0
2t2+3t-20=0  a=2 ; b=3 ; c=-20
t1,2=-3±33-4·2·-202·2=-3±9+1604=-3±134
t1=-3+134=104=52 ; t2=-3-134=-164=-4
t1=52 ; t2=-4
t1=52  52=x+1x
52=x+1x ·2x
52·2x=x·2x+1x·2x
5x=2x2+2
2x2-5x+2=0
2x2-5x+2=0  a=2 ; b=-5 ; c=2
x2,3=5±52-4·2·22·2=5±25-164=5±94=5±34
x2=5+34=84 ; x3=5-34=24
x2=2  ;  x3=12
t2=-4 -4=x+1x
-4=x+1x·x
-4·x=x·x+1x·x
-4x=x2+1
x2+4x+1=0
x2+4x+1=0 a=1 ; b=4 ; c=1
x4,5=-4±42-4·1·12·1=-4±16-42=4±122=4±4·32=4±4·32=4±232=22±32=2±3
x4=2+3 ; x5=2-3
x1=1 ; x2=2 ; x3=-12 ; x4=-2+3 ; x5=-2-3
Ossza el az egyenletet x2-el.
Podelite čitavu jednačinu sa x2.
Divide the whole equation by x2.
x1=1 ; x2=2 ; x3=-12 ; x4=-2+3 ; x5=-2-3