сначала решаем уравнение как и обычно т.е. теоремой виетта или дискриминантом
х^2-4х+3=0
я решу теоремой виетта:
сумма корней равна 4
произведение 3
значит корни 1 и 3
далее:
есть такая формула разложение на множетели квадратного уравнения выглядит так: a(x-x1)(x-x2), где а-множетель перед квадратом в нашем случае это 1, х1 и х2 - корни.
подставим в неё наши корни, получим (x-1)(x-3)=0
так а теперь решим это неравенство (x-1)(x-3)> 0
методом интегралов ( тут 3 промежутка от минус бесконечности до 1 от 1 до 3 и от 3 до плюс бесконечности):
допустим х =0, подставим (0-1)(0-3)=3 знак + значит в промежутке от минус бесконечности до 1 знак +
от 1 до 3 знак -
от 3 до плюс бесконечности +
ответ: х принадлежит промежутку от минус бесконечности до 1 и от 3 до плюс бесконечности
London As well as being the capital of England, London is the capital of the United Kingdom. London was founded by the Romans in 43 A.D. and was called Londinium. In 61 A.D. the town was burnt down and when it was rebuilt by the Romans it was surrounded by a wall. That area within the wall is now called the City of London. It is London's commercial and business centre. It contains the Bank of England, the Stock Exchange and the head offices of numerous companies and corporations. Here is situated the Tower of London. The Tower was built by William the Conqueror who conquered England in 1066. He was crowned at Westminster Abbey. Now most of the Government buildings are located there.During the Tudor period (16th century) London became an important economic and financial centre. The Londoners of the Elizabethan period built the first theatres. Nowadays the theatre land is stretched around Piccadilly Circus. Not far from it one can see the British Museum and the Covent Garden Opera House.During the Victorian period (19th century) London was one of the most important centres of the Industrial Revolution. Today London is a great political centre, a great commercial centre, a paradise for theatre-goers and tourists, but it is also a very quiet place with its parks and its ancient buildings, museums and libraries.
получается делаем так:
сначала решаем уравнение как и обычно т.е. теоремой виетта или дискриминантом
х^2-4х+3=0
я решу теоремой виетта:
сумма корней равна 4
произведение 3
значит корни 1 и 3
далее:
есть такая формула разложение на множетели квадратного уравнения выглядит так: a(x-x1)(x-x2), где а-множетель перед квадратом в нашем случае это 1, х1 и х2 - корни.
подставим в неё наши корни, получим (x-1)(x-3)=0
так а теперь решим это неравенство (x-1)(x-3)> 0
методом интегралов ( тут 3 промежутка от минус бесконечности до 1 от 1 до 3 и от 3 до плюс бесконечности):
допустим х =0, подставим (0-1)(0-3)=3 знак + значит в промежутке от минус бесконечности до 1 знак +
от 1 до 3 знак -
от 3 до плюс бесконечности +
ответ: х принадлежит промежутку от минус бесконечности до 1 и от 3 до плюс бесконечности
As well as being the capital of England, London is the capital of the United Kingdom. London was founded by the Romans in 43 A.D. and was called Londinium. In 61 A.D. the town was burnt down and when it was rebuilt by the Romans it was surrounded by a wall. That area within the wall is now called the City of London. It is London's commercial and business centre. It contains the Bank of England, the Stock Exchange and the head offices of numerous companies and corporations. Here is situated the Tower of London. The Tower was built by William the Conqueror who conquered England in 1066. He was crowned at Westminster Abbey. Now most of the Government buildings are located there.During the Tudor period (16th century) London became an important economic and financial centre. The Londoners of the Elizabethan period built the first theatres. Nowadays the theatre land is stretched around Piccadilly Circus. Not far from it one can see the British Museum and the Covent Garden Opera House.During the Victorian period (19th century) London was one of the most important centres of the Industrial Revolution. Today London is a great political centre, a great commercial centre, a paradise for theatre-goers and tourists, but it is also a very quiet place with its parks and its ancient buildings, museums and libraries.