kvadratne i linearne jednacine

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Kvadratne i Linearne Jednacine maturski

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1. , . . . , , .

. . :

,

,

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j . , , , , , .

. , , . , . , .

2. , , .

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2.

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2.1

j .

1. , . j .2. , . , , . j .

3. , , j . 1.

, .

(a =1, b =0, c =1) , . () , . . c , >0, :

:

, , . 2. | 2 |

2, , : a =1, b =0, c = 3, , : . 3

: a =1, b = 2, c =0. 3). , . .

2.2 1. , .

. 0, 4, . , , , , .

. 1. | 1 |

. 2. | 1 |

, , . ( ). 3. | 1 |

.3. j

j , j j . 3.

.

2.

x2+bx2+c=0 :

1. j D > 0,

2. j D = 0,

3. - j D < 0.4. x :

a b .

x0 :

(, ...) :

v

v v

, .

: . .

: :. . , , . , .

:

4.1

.

:

X+2=5 X+5=8 X=3 .

X+2=5 X+5=8 .

.

, . . . .

1:

, .

: | 3 | 1 :

, . :

A=B+C, A, B C . C :

A+(-C)=B+C+(-C) . A-C=B.

.

2:

0, .

:

, . . , , . X=3.4.2

X , 1 2, x=b b .

3

1. .

2. , , . .3. .

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2) x, .

3) .4.3

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, X , b , P(x) , . , , x, . , . ( ), .

5. ()

x=b b , . , . .

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: | 3 | x :

:

x = b, =5 c, =(5-c) (5+c)

A) 5-c=0 . c=5, , c=5:

0 X = 0

B) . , 3 :

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: : (-2). 10

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