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Вопрос по алгебре:
x^2+16x+64>0
как решить?-
Автор:
lisafoley
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Для начала решим дискриминант, найдём корень уравнения и дальше на координатной оси x найдём по методу интервалов решение неравенства:
Решение:
Дискриминант: x²+16x+64 = 0
a=1 b=16 c=64
D = b²-4ac => 16²-4*1*64 = 256 - 256 = 0 равен 0, 1 корень.
x =
x₁ =
Получаем: (x+8)>0
Значит метод интервалов нам не пригодится в данном случае, ибо одно значение.
------------------------------------0///////////////////////////////////> x
-∞ -8 +∞
Ответ: (-8;+∞).
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