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

What should Ali sloan do ? What would you do if you were in her place ? Explain
PLEASE HELP ME ITS ONLY ONE QUESTION!!! Campbell Soup is creating a new soup label. If a can has a height of 6 in and a diameter of 4 in, how much material does
Sort these observations about a procedure's effectiveness into the correct categories. logical sequence precise words mixed-up steps unfamiliar language informa
Suppose you cool a pot of soup in a 20°C room. Right when you take the soup off the stove, you measure its temperature to be 180°C. After 20 minutes, the soup h
Can someone please help me with the first 2 questions?
Solve for x 6x - 21 = 3x + 12
What benefit does a tuskless elephant have over a tusked elephant?​
Quality of life gauges a person's satisfaction with life, not just how long the person live
Given the circumference of equation [tex]\bf{x^{2}+y^{2}-2x+4y-4=0}[/tex], find the center and the radius.
PLEASE HURRY: Solve the equation: |x+1|+|x-2|=3 (The brackets are absolute values)