ΣΧΕΣΕΙΣ ΡΙΖΩΝ ΔΕΥΤΕΡΟΒΑΘΜΙΑΣ ΕΞΙΣΩΣΗΣ
Quiz
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
giannis xantzis
Used 4+ times
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20 questions
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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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