X^2 - 11X + 10 = 0
D = 121 - 40 = 81 ; V D = 9
X1 = ( 11 + 9 ) : 2 = 10
X2 = ( 11 - 9 ) : 2 = 1
Ответ ( Х - 10 ) * ( X - 1 )
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2X^2 - 3X + 1 = 0
D = 9 - 4*2*1 = 1 ; V D = 1
X1 = ( 3 + 1 ) : 4 = 1
X2 = ( 3 - 1 ) : 4 = 1/2
Ответ ( Х - 1 ) * ( X - 0,5 )
16yˇ4-81=0
(2y)ˇ4 - 3ˇ4=0, ((2y)ˇ2+3ˇ2)((2y)ˇ2-3ˇ2)=0
(4yˇ2+9)(2y+3)(2y-3)=0
a)4yˇ2+9=0, yˇ2=-9/4, /y/=i.3/2, y1=3i/2,y2=-3i/2
b)2y+3=0, y3=-3/2
c)2y-3=0, y4=3/2
1)162,162:2,25=72,072
2)72,072+0,828=72,9
3)72,9:0,0125=5832
4)5,1²+10,2*3,9+3,9²=(5,1+3,9)²=9²=81
5)5832:81=72
11z^2 + 33z - z - 3 = 0
11z^2 + 32z - 3 = 0
D = 32^2 + 4*3*11 = 1024 + 132 = 1156 = 34^2
z₁ = ( - 32 + 34)/22 = 2/22 = 1/11
z₂ = ( - 32 - 34)/22 = - 66/22 = - 3
Ответ
- 3; 1/11