itayabrahamitay
itayabrahamitay itayabrahamitay
  • 04-07-2021
  • Mathematics
contestada

p(x),f(x),g(x) are parabolas with positive coefficient, each pair of parabolas got common rational root, how to proof that p(x)+f(x)+g(x) have a rational root?

Respuesta :

Аноним Аноним
  • 04-07-2021

Answer:

[tex]{ \tt{p(x) : {y}^{2} = 4ax}} \\ { \tt{f(x) : {(y')}^{2} = 4a {x}'}} \\ { \tt{g(x) : {(y'')}^{2} = 4ax''}} \\ { \bf{since \: they've \: a \: common \: root}} : \\ {y}^{ 2} = {(y')}^{2} = {(y'')}^{2} \\ = > { \tt{4ax + 4ax' + 4ax''}} \\ = 4a(x + x' + x'') \\ common \: root \: is \: 4a \\ { \tt{ \infin {}^{ - } \leqslant 4a \leqslant \infin {}^{ + } }}[/tex]

Answer Link

Otras preguntas

Which of the following is associated with the highest investment risks? A. The bond market B. Savings accounts C. The stock market D. Bank accounts
Which of the following elements has the largest atomic size? S, Ba, Po, Ca​
How many websites are mobile friendly?
** What is the vertex of the function f(x) = 1x2 + 3x + 3?
Describe a "global food web" and give an example:
Which of the following is the clearest and most effective sentence?
Anyone got this?! I need to turn this in today!!
During World War I how many women sustained the labor force on the home front?
How can the reader use the setting of a story to learn more about a character?
In the figure below consider R = 11 Ω. Calculate the equivalent resistance.