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Задача 1
Дадено е уравнението 2x​2​ - 3x - 4 = 0 Изчислете изразите:

Решение:

После?
A

B

C
Използвайки формулата
,получаваме, че:

Задача 2
Дадено е уравнението 2x​2​ + 3x - 8 = 0
Изчислете изразите:
, където x​1​ e по-големият корен.
Решение:

После?

�Знакът е + , защото x​1​ &gt; x​2​ .
Задача 3
Съставете квадратно уравнение с корени x​1​ = 3/2 и x​2​ = -2.
Решение:
Изчисляваме:

Нека квадратното уравнение има вида: x​2​ + px + q = 0.
Тогава:

Уравнението придобива вида:

Да умножим двете страни по 2, за да се освободим от знаменателя:

В някои случаи формулите на Виет ни помагатда решим квадратно уравнение наум, ако
сме налучкали един от корените му.
Задача 4
Решете наум квадратното уравнение 2x​2​ + 5x - 7 = 0
Решение: x = 1 е корен на квадратното уравнение, защото като заместим x с 1
получаваме: 2 + 5 - 7 = 0.
; x​1​ = 1.
Като заместим получаваме, че x​2​ = -7/2 .
Ако е дадено едно квадратно уравнение, първо трябва да проверим дали едно от
чидлата 1 или -1 е корен на уравнението и
след това, по формулата на Виет x​1​.x​2​ = c/a да намерим другият корен.

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