Question

OBLICZ DELTE
proszę po kolei obliczenia bo muszę to załapać będę wdzięczna:(

a) xkwadrat -7x +6 =0
b)xkwadrat -2x +1 =0
c)2xkwadrat + 3x+1=0
d)xkwadrat -2x - 3 =0
e) 1/2kwadrat - 2 =0

Proszę o rozwiązanie z góry dziękuję ;)

Answer 1

A)

x² - 7x + 6 = 0

Δ = 49 - 24

Δ = 25

b)

x² -2x + 1 = 0

Δ = 4 - 4 = 0

c)

2x² + 3x + 1 = 0

Δ = 9 - 8 = 1

d)

x² -2x - 3 =0

Δ = 4 + 12 = 16

e)

0,5x² - 2 =0

Δ = 0 + 4 = 4

Answer 2

A) x² -7x +6 =0
a = 1 , b = -7, c = 6
Δ = b² - 4 * a * c
Δ = 49 - 4 * 1 * 6 = 49 - 24 = 25
√Δ = 5
x = -b - √Δ/2*a = 7 - 5/ 2*1 = 2/2 = 1
x = -b + √Δ/2*a = 7 + 5 / 2 * 1= 12/2 =6


b)x² -2x +1 =0
a = 1 , b = -2, c =1
Δ = b² - 4 * a * c
Δ = 4 - 4 * 1 * 1 = 0
x(zero) = -b/2 *a
x(zero) = 2 / 2 * 1 = 2/2 = 1

c)2x² + 3x+1=0
a = 2 , b = 3, c = 1
Δ = b² - 4 * a * c
Δ = 9 - 4 * 2 * 1 = 9 -8 = 1
√Δ = 1
x = -b - √Δ/2*a = -3 - 1/ 2*2 = -4/4 = -1
x = -b + √Δ/2*a = -3 + 1 / 2 * 2= -2/4 = -1/2

d)x² -2x - 3 =0
a = 1 , b = -2, c = -3
Δ = b² - 4 * a * c
Δ = 4 - 4 * 1 * (-3) = 4 + 12 = 16
√Δ = 4
x = -b - √Δ/2*a = 2 -4 / 2*1 = -2/2 = -1
x = -b + √Δ/2*a = 2 + 4 / 2 *1= 6/2 = 3

e) 1/2x - 2 =0
a = 0 , b = 1/2, c = -2
Δ = b² - 4 * a * c
Δ = 1/4 - 4 * 0 * -2 = 1/4 [1/4 = 0,25]
√Δ = 0,5
x = -b - √Δ/2*a = -0,5 - 0,5/ 2*0 = 0
x = -b + √Δ/2*a = -0,5 + 0,5 / 2 * 0= 0