Автор - NamelessLoser

решить примеры через дискриминант:
1) 2а^2-а=3
2) -t^2+t+3=0

помогите, пожалуйста. 35 баллов.

Ответ

Автор - Jikarinkite

1)2a {}^{2}  - a = 3 \ 2a {}^{2}  - a - 3 = 0 \ d = ( - 1) {}^{2}  - 4 times 2 times ( - 3) = 1 + 24 = 25 \ a _{1} =  frac{1 - 5}{2 times 2}  =  frac{ - 4}{4}  =  - 1 \ a _{2} =  frac{1 + 5}{2 times 2}  =  frac{6}{4}  =  frac{3}{2}  = 1.5

 - t {}^{2}  + t + 3 = 0 \ t {}^{2}  - t - 3 = 0 \ d = ( - 1) {}^{2}  - 4 times 1  times ( - 3) = 1 + 12 = 13 \ t _{1} =  frac{1 -  sqrt{13} }{2}  \ t _{2} =  frac{1 +  sqrt{13} }{2}

Ответ

Автор - michindjeva

Ответ:

1) : 2 {a}^{2}  - a - 3 = 0 \ d =  1 - 4 times 2 ( - 3) = 25 \ x1 =  frac{1 - 5}{2 times 2}  =  - 2 \ x2 =  frac{1 + 5}{2 times 2}  = 1.5 \  -  {t}^{2}  + t + 3 = 0 \  {t}^{2}  - t - 3 = 0 \ d = 1 - 4 times 1 times( -  3) = 13 \ x1 =  frac{1 -  sqrt{13} }{2}  \ x2 =  frac{1 +sqrt{13} }{2}

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