Автор - DimonChanel

Помогите решить через дискриминант.

Ответ

Автор - alesyaperova

1)5x + 6 =  {x}^{2}  \ 5x + 6 -  {x}^{2}  = 0 \  -  {x}^{2}  + 5x + 6 = 0 times ( - 1)
 {x}^{2}  - 5x - 6 = 0 \ d = 25 + 24 = 49 =  {7}^{2}  \
x1 =  frac{5 + 7}{2}  =  frac{12}{2}  = 6 \ x2 =  frac{5 - 7}{2}  =  -  frac{2}{2}  =  - 1
2)
4x + 14(x - 3) = 3x(x - 3) \ 4x + 14x - 42 =  {3x}^{2}  - 9x \ 18x - 42 = 3 {x}^{2}  - 9x \ 18x - 42 - 3 {x}^{2}  + 9x = 0
 - 3 {x}^{2}  + 27x - 42 = 0 div ( - 3) \  {x}^{2}  - 9x  + 14 = 0 \ d = 81 - 56 = 25 =  {5}^{2}
x1 =  frac{9 + 5}{2}  =  frac{14}{2}  = 7 \ x2 =  frac{9 - 5}{2}  =  frac{4}{2}  = 2

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