Question

rezalvati urmatoarele ecuatii de gradul 2
​

Answer 1

Explicație pas cu pas:

a) (x+3)(x+4)=0; x = -4; x = -3

Δ = 49 - 48 = 1 = 1²

b) (x-2)(x-6)=9; x = 2; x = 6

Δ = 64 - 48 = 16 = 4²

c) (x+6)(x-1)=9; x = -6; x = 1

Δ = 25 + 24 = 49 = 7²

d) (x+2)(x-14)=0; x = -2; x = 14

Δ = 144 + 112 = 256 = 16²

e) numere complexe

$x = - \frac{1}{2} + \frac{i \sqrt{7} }{2} \\ x = - \frac{1}{2} - \frac{i \sqrt{7} }{2}$

f) (3x+7)(x-1)=0; x = -7/3; x = 1

Δ = 16 + 84 = 100 = 10²

g) -(2x+5)(x-1)=0; x = -5/2; x = 1

Δ = 9 + 40 = 49 = 7²

h) numere complexe

$x = \frac{1}{3} - \frac{i \sqrt{2} }{3} \\ x = \frac{1}{3} + \frac{i \sqrt{2} }{3}$