Приведенное квадратное уравнение имеет вид: x^2+px+q=0. a) Даны корни уравнения: х1=-3, х2=4. Подставим в приведенное уравнение : (-3)^2+ (-3)x+q=0 и 4^2+4x+q=0. Правые части уравнения равны, соответственно и левые части должны быть равны: 9-3p+q=16+4p+q; 7p=-7; p=-1; Подставим значение р и х в исходное уравнение и получим 16-4+q=0; q=-12 Приведенное уравнение: x^2-x-12=0 б) х1=-7; х2=-4. (-7)^2-7p+q=0; (-4)^2-4p+q=0. 49-7p+q=16-4p+q; 33-3p=0; p=11. Подставим p и x и получим: 49-77+q=0; q=28. Приведенное уравнение: x^2+11x+28=0
I'll tell you a funny story that happened to my cousin Ella . She really wanted a pet. But the parents refused to give it to her. Mom and Dad said that there is no place to keep a dog in a small apartment . From hamster will be a lot of garbage , and the cat will sharpen claws on furniture. Sister , of course, upset. It was winter . One evening I heard a strange rustling Ella window. As if someone wanted to get into the house and rattled the glass. Sister ran to the window and saw outside on snowy windowsill bright green parrot ! Beak and a long tail , he had blue ! It was evident that he was very cold , probably accidentally flew out of the house . Sister made noise . Her parents came . They began to say that the parrot is already frozen. That he will soon die anyway , even if his take home. But they decided to take a chance and stick steel insulated for winter window . As they tried not to make noise ! After the bird could get frightened and fly away to die in the cold. Once a window slightly parted , Ella grabbed one deft movement parrot . Bird warmed up in the house and survived. Parrot named Gosha . So my cousin came pet , which she dreamed ! A small parrot miraculously escaped from the cruel winter .
a) Даны корни уравнения:
х1=-3, х2=4. Подставим в приведенное уравнение : (-3)^2+ (-3)x+q=0 и 4^2+4x+q=0. Правые части уравнения равны, соответственно и левые части должны быть равны:
9-3p+q=16+4p+q; 7p=-7; p=-1; Подставим значение р и х в исходное уравнение и получим 16-4+q=0; q=-12 Приведенное уравнение: x^2-x-12=0
б) х1=-7; х2=-4. (-7)^2-7p+q=0; (-4)^2-4p+q=0. 49-7p+q=16-4p+q; 33-3p=0; p=11. Подставим p и x и получим: 49-77+q=0; q=28. Приведенное уравнение: x^2+11x+28=0
It was winter . One evening I heard a strange rustling Ella window. As if someone wanted to get into the house and rattled the glass. Sister ran to the window and saw outside on snowy windowsill bright green parrot ! Beak and a long tail , he had blue ! It was evident that he was very cold , probably accidentally flew out of the house .
Sister made noise . Her parents came . They began to say that the parrot is already frozen. That he will soon die anyway , even if his take home. But they decided to take a chance and stick steel insulated for winter window . As they tried not to make noise ! After the bird could get frightened and fly away to die in the cold.
Once a window slightly parted , Ella grabbed one deft movement parrot . Bird warmed up in the house and survived. Parrot named Gosha . So my cousin came pet , which she dreamed ! A small parrot miraculously escaped from the cruel winter .