Răspuns :
x²+5x-14=0
x²+7x-2x-14=0
x(x+7)-2(x+7)=0
(x+7)(x-2)=0
x+7=0
x+7-7=0-7
x=0-7
x=-7
x-2=0
x-2+2=0+2
x=0+2
x=2
S={-7,2}
[tex]x^{2} + 5x - 14 = 0 \\ {x}^{2} + 7x - 2x - 14 =0 \\ x(x + 7) - 2(x + 7) = 0 \\ (x + 7)(x - 2) = 0[/tex]
Ecuatia are doua solutii:
1)
[tex]x + 7 = 0 \\ x = - 7[/tex]
2)
[tex]x - 2 = 0 \\ x = 2[/tex]
S={-7, 2}