Posted in Հանրահաշիվ 9

Դիսկրիմինանտ

Վարժություն 125

X E (-inf. ; 8) X E(8 ; +inf.)

Վարժություն 126
1) 2x2 > 0
2x2 = 0
x = 0

X E (-inf. ; 0) U X E(0 ; +inf.)

2) x2/2 > 0
x2/2 = 0
x = 0

X E (-inf. ; 0) U (0;+inf.)

3) (x – 1)2 > 0
(x -1)2 – 0
x – 1 = 0
x = -1

X E (-inf. ; -1) U (1 ; +inf.)

4) (x + 3)2 > 0
(x + 3) 2= 0
x + 3 = 0
x = -3

X E (-inf. ; -3) U (-3 ; +inf.)


Վարժություն 127
1) -3x2 > 0
-3x2 = 0
x2= 0
x = 0

Ø

2) -(x -4)2 > 0
-(x – 4)2 = 0
-1 x (x + 4)2 = 0
(x + 4)2 = 0
x + 4 = 0
x = -4

Ø

3) (2 – x)2 > 0
(2 – x) 2= 0
2 – x = 0
x = 2

X E (-inf. ; 2) U (2 ; +inf.)

4) -x2 > 0
-x 2= 0
x = 0

X E (-inf. ; 0) U (0 ; +inf.)

Վարժություն 129
1) (x – 4)2 > 0
(x – 4)2 = 0
x – 4 = 0
x = 4

X E (-inf. ; 4) U (4 ; +inf.)

2) (7 – 4x)2 > 0
(7 – 4x)2 = 0
7 – 4x = 0
4x = 7
x = 7/4

X E (-inf. ; 7/4) U (7/4 ; +inf.)


3) (x + 1) 2> 0
(x + 1)2 = 0
x + 1 = 0
x = -2

X E (-inf. ; -1) U (-1 ; + inf.)

4) (2x – 3)2 > 0
(2x – 3) 2 = 0
2x – 3 = 0
2x = 3
x = 1,5

X E (-inf. ; 1,5) U (1,5 ; +inf.)

Վարժություն 130
1) x2 – 4x + 4 > 0
x2 – 4x + 4 = 0
D = 16 – 4 x 1 x 4 = 0
x = 4 / (2 x 1) = 2

X E(-inv. ; 2) U (2 ; +inv.)

2) x2 – 2x + 1 > 0
x2 – 2x + 1 = 0
D = 4 – 4 x 1 x 1 = 0
x = 2/(2 x 1) = 1

X⊂ (-oo ; 1) U (1 ; +oo)

3) x^2 + 10x + 25 < 0
x^2 + 10x + 25 = 0
D = 100 — 4 * 1 * 25 = 0
x = -10/(2*1) = -5