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ΣΧΕΣΕΙΣ ΡΙΖΩΝ ΔΕΥΤΕΡΟΒΑΘΜΙΑΣ ΕΞΙΣΩΣΗΣ

Authored by giannis xantzis

Mathematics

10th Grade

Used 5+ times

ΣΧΕΣΕΙΣ ΡΙΖΩΝ ΔΕΥΤΕΡΟΒΑΘΜΙΑΣ ΕΞΙΣΩΣΗΣ
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Αν x1 , x2 είναι οι ρίζες της εξίσωσης

x2 + 3x - 5 = 0

τότε το άθροισμα x1 + x2 = . . .

x1 + x2 = 3

x1 + x2 = - 3

x1 + x2 = - 5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Αν x1 , x2 είναι οι ρίζες της εξίσωσης

x2 + 3x - 5 = 0

τότε το γινόμενο x1 . x2 = . . .

x1 . x2 = 3

x1 . x2 = 5

x1 . x2 = - 5

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Αν x1 , x2 είναι οι ρίζες της εξίσωσης

x2 + 3x - 5 = 0

τότε το γινόμενο x12 + x22 = . . .

x12 + x22 = 9

x12 + x22 = 25

x12 + x22 = 19

Answer explanation

Η εξίσωση είναι x2 + 3x - 5 = 0 και

x12 + x22 = (x1 + x2)2 - 2x1.x2 άρα

x12 + x22 = (-3)2 - 2.(-5) άρα

x12 + x22 = 19.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Ν Α Ι

Ο Χ Ι

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Αν x1 , x2 είναι οι ρίζες της εξίσωσης

x2 + 3x - 5 = 0 .

Είναι αλήθεια ότι εφόσον x1 + x2 = - 3 , τότε x12 + x22 = 9 ;

Ν Α Ι

Ο Χ Ι

Answer explanation

Η εξίσωση είναι x2 + 3x - 5 = 0 και

τότε

x12 + x22 = (x1 + x2)2 - 2x1 . x2 δηλαδή

x12 + x22 = (-3)2 - 2 . (-5)

x12 + x22 = 19

6.

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

Ο τύπος της Διακρίνουσας είναι . . .

Δ = β2 + 4αγ

Δ = - β2 - 4αγ

Δ = β2 - 4αγ

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Οι λύσεις της εξίσωσης

x2 + 6x - 7 = 0

είναι . . .

x1 = 1

x2 = 7

x1 = -1

x2 = 7

x1 = 1

x2 = -7

x1 = -1

x2 = -7

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