Rozwiązane

Oblicz wyróżnik trójmianu kwadratowego:



Oblicz Wyróżnik Trójmianu Kwadratowego class=

Odpowiedź :

Odpowiedź:

1.

y = - 3x² + 2x + 1

a = - 3  , b = 2 , c = 1

Δ = b² - 4ac = 2² - 4 * (- 3) * 1 = 4 + 12 = 16

2.

y=2x^2+3x+7

a = 2 , b = 3 , c = 7

Δ = b² - 4ac = 3² - 4 * 2 * 7 = 9 - 56 = - 47

3.

y=-4x^2+5x-2

a = -  4 ,  b = 5 , c = - 2

Δ = b² - 4ac = 5² - 4 * ( - 4) * (- 2)  = 25 - 32 = - 7

4.

y=3x^2-2x+1/3

a = 3 ,  b = - 2 , c = 1/3

Δ = b² - 4ac = (- 2)² - 4 * 3 * 1/3 = 4 - 12/3 = 4 - 4 = 0

5.

y=-1/2 x^2+4x-5

a = - 1/2 ,  b =  4 , c = - 5

Δ = b² - 4ac = 4² - 4 * (-  1/2) * (- 5) = 16 - 10 = 6

6.

y=3/4 x^2-√2 x+1

a = 3/4 , b = - √2 , c = 1

Δ = b² - 4ac = (- √2)² - 4 * 3/4 * 1 = 2 - 3 = - 1

7.

y=4√2 x^2+3x

a = 4√2  , b = 3  ,  c = 0

Δ = b² - 4ac = 3² - 4 * 4√2 * 0 = 9 - 0 = 9

8.

y=6x^2+2

a = 6 , b = 0 , c = 2

Δ = b² - 4ac = 0² - 4 * 6 * 2 = 0 - 48 = - 48

9.

y=-6x^2+13x+5

a  = 6 ,  b = 13 , c = 5

Δ = b² - 4ac = 13² - 4 * 6 * 5 = 169 - 120 = 49

10.

y=1/4 x^2-x/3+1/9

a = 1/4 , b = - 1/3 , c = 1/9

Δ = b² - 4ac = (- 1/3)² - 4 * 1/4 * 1/9 = 1/9 - 1/9  = 0