Решите уравнения : х^4-13х^2+36=0 и х^ 4-65х^2+64=0 - вопрос №413236046526402990308 от konoval1i 27.08.2022 06:50

Question

Математика: Решите уравнения : х^4-13х^2+36=0 и х^ 4-65х^2+64=0

konoval1i · Answer

1) x^4 - 13x^2 + 36 = 0; x^2 = t ≥0;t^2 - 13 t + 36 = 0;D = 169 - 144 = 25 = 5^2; t1 = 9 ; ⇒ x^2 = 9; x = + - 3; t2 = 4; ⇒ x^2 = 4 ; x = + - 2.2) x^4 - 65 x^2 + 64 = 0; x^2 = t ≥ 0 ; t^2 - 65 t + 64 = 0; t1 = 1; ⇒ x^2 = 1 ;   x = + - 1; t2 = 64; ⇒ x^2 = 64 ; x = + - 8...