Quadratic equation assignment, Mathematics

what is number of quadratic equation that are unchanged by squaring their roots is

There are four such cases x2  =0 root 0

(x-1)2=0  root 1

x(x+1)=0  roots  0 and 1

x2+x+1=0 roots ω and ω2 

let x2 +bx +c=0 ............1

not let another equation whoose roots are square of this equation

so   X=x2   or   x=√X

 put value of x

  X +b√X  +c =0

 or X +c =-b√X

square

   X2 +c+2cX =b2X

   X2 +(2c-b2)X + c=0..................2

root of equation 2 is the square of root of equation 1

both equation will be same if their coefficient are in proportion

1/1  =b/(2c-b2)  =c/c 2

 

b= 2c-b2     ................3            

c=c2  ....................3

 from equation 3  c=0 or 1

 for c =0  b= 0 and -1

  for c=1  b= 1 and -2 

 so four combination are possible

Posted Date: 9/19/2012 6:56:40 AM | Location : United States







Related Discussions:- Quadratic equation assignment, Assignment Help, Ask Question on Quadratic equation assignment, Get Answer, Expert's Help, Quadratic equation assignment Discussions

Write discussion on Quadratic equation assignment
Your posts are moderated
Related Questions

A piece of cardboard in the shape of a trapezium ABCD & AB || DE, ∠ BCD = 900, quarter circle BFEC is removed. Given AB = BC = 3.5 cm, DE = 2 cm. Calculate the area of remaining p

how to add a fraction with an uncommon denomoninator

The product of -7ab and +3ab is (-7 x 3) a 2  b 2  = -21a 2  b 2 . In other words, a term with minus sign when multiplied with a term having a positive sign, gives a product having

two sides of an equilateral triangle have lengths 3x-1 and 3x-1. Which of 27-x or 2x-4 could be the length of the third side?

TRIGONOMETRY : "The  mathematician  is  fascinated  with  the  marvelous  beauty  of the forms  he  constructs,  and  in their  beauty  he  finds  everlasting  truth." Example:

what are your 9 times tables

Conclude the values of the six trigonometric functions: Conclude the values of the six trigonometric functions of an angle formed through the x-axis and a line connecting the

evaluate the expression and write the result in the form a + bi. I^37

The perimeter of Andrew''s rectangular room is 44 feet. What equation was used to find the perimeter?