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Vladislv
@Vladislv
August 2022
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Найдите коэффициент q уравнения x^2 - 10x + q = 0, если один из его корней в четыре раза больше другого.
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OfMath
Из уравнения x^2 - 10x + q = 0 по теореме Виета: x1+x2 = -b, x1*x2 = q. Пускай x1 = a, тогда x2 = 4a. Имеем: a + 4a = 10, 5a = 10, a = 2. x1 = 2, x2 = 8. Тогда коэффициент q = x1*x2 = 2*8 = 16.
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