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Equazioni parametriche 2TD

Authored by Yohanna Fawzi

Mathematics

2nd Grade

Used 44+ times

Equazioni parametriche 2TD
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10 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 x2 2 ( k+2) x + k23k + 32 = 0x^2-\ 2\ \left(\ k+2\right)\ x\ +\ k^2-3k\ +\ 32\ =\ 0    x1 = x2x_1\ =\ x_2  
 Trovare il valore di  kTrovare\ il\ valore\ di\ \ k  

 k = 4k\ =\ -4   

 k = 2k\ =\ 2  

 k = 4k\ =\ 4  

 k = ±2k\ =\ \pm2  

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Trovare due numerila cui somma sia - 7 ed il cui prodotto sia 10

x1 = 3 ; x2 = 4x_{1\ }=\ 3\ \ \ \ ;\ \ \ \ x_{2\ }=\ 4

x1 =1 ; x2 = 7x_{1\ }=1\ \ \ \ \ \ ;\ \ \ \ \ x_{2\ }=\ 7

x1 = 2 ; x2 = 5x_{1\ }=\ -2\ \ \ \ \ \ \ \ \ ;\ \ \ x_{2\ }=\ -5

x1 = 2 ; x2 = 6x_{1\ }=\ -2\ \ \ \ \ \ ;\ \ x_{2\ }=\ -6

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 (k+3)x2  ( 4k1)x + 3 (k1) = 0\left(k+3\right)x^2\ -\ \left(\ 4k-1\right)x\ +\ 3\ \left(k-1\right)\ =\ 0  


determinare k in modo che le soluzioni siano reali e che sia :    x1 = 1x2x_1\ =\ \frac{1}{x_2}  

 k = 5k\ =\ 5  

 k = 6k\ =\ 6  

 k = 3k\ =\ 3  

 k =  4k\ =\ -\ 4  

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 (k2) x2 + 2 (k6) x 4k1=0\left(k-2\right)\ x^2\ +\ 2\ \left(k-6\right)\ x\ -4k-1=0  

 Trovare il valore di kTrovare\ il\ valore\ di\ k 
 x1 =  x2x_1\ =\ -\ x_2  

 k1=1  k_1=1\ \   

 k1 = 6k_{1\ }=\ -6  

 k1 =6k_{1\ }=6  

 k1= 4k_1=-\ 4  

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 ( k + 1 ) x2  2 k x + k1 = 0\left(\ k\ +\ 1\ \right)\ x^2\ -\ 2\ k\ x\ +\ k-1\ =\ 0  
determinare per quale valore di k
 x12 + x22  = 3 x1x2x_1^2\ +\ x_2^2\ \ =\ 3\ x_1x_2  

 k = ±3k\ =\ \pm\sqrt{3}  

 k = ±5k\ =\ \pm\sqrt{5}  

 k = ±7k\ =\ \pm\sqrt{7}  

 k 1 = 1     e   k2 = 3k\ _{1\ }=\ 1\ \ \ \ \ e\ \ \ k_2\ =\ -3  

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 (k  1 ) x2  2 (k2) x + k = 0\left(k\ -\ 1\ \right)\ x^2\ -\ 2\ \left(k-2\right)\ x\ +\ k\ =\ 0  

La somma dei reciproci delle radici sia  5

 k =  34k\ =\ -\ \frac{3}{4}  

 k = 43k\ =\ \frac{4}{3}  

 k =  43k\ =\ -\ \frac{4}{3}  

 k = 23k\ =\ \frac{2}{3}  

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 x2 + ( 3  k) x + 2k 1 = 0x^2\ +\ \left(\ 3\ -\ k\right)\ x\ +\ 2k\ -1\ =\ 0 
Il prodotto delle radici uquale alla somma delle stesse 



 k = 3k\ =\ 3  

 k =  2k\ =\ -\ 2  

 k = 5k\ =\ -5  

 k = 4k\ =\ 4  

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