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Автор - malaya33

квадратное уравнение с корнями в 4 раза больше корней уравнения x²+x-3=0 имеет вид x²-bx+c=0 Найти -с+5b

Ответ

Проверено экспертом

Автор - arsenlevadniy
x²+x-3=0,
x₁+x₂=-1,
x₁x₂=-3;
x²-bx+c=0,
4x₁+4x₂=4(x₁+x₂)=4·(-1)=-4=b,
b=-4,
4x₁·4x₂=16x₁x₂=16·(-3)=-48=c,
c=-48;

-с+5b=-(-48)+5·(-4)=48-20=28

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