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Автор - 11alna11

При каких значениях t уравнение 25 x^{2} +tx+1=0 не имеет корней?

Ответ

Автор - MM18
25x^2 + tx + 1 = 0<br />
 \ D = t^2 - 4*25 = t^2 - 100 \ D < 0<br />
 \ t^2 - 100 < 0 \ t^2 - 100 = 0 \ (t - 10)(t + 10) = 0 \ t1 = 10, t2 = -10 \ <br />
____-10///////10____
Ответ x∈ (-10; 10)

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