Quadratic equation assignment, Mathematics

Assignment Help:

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


Related Discussions:- Quadratic equation assignment

Example of fraction, Example  Reduce 24/36 to its lowest terms. 2...

Example  Reduce 24/36 to its lowest terms. 24/36=12/18=6/9=2/3. In the first step we divide the numerator and the denominator by 2. The fraction gets reduced

Determine probability , You are going on a road trip and you buy snack pack...

You are going on a road trip and you buy snack packs and three different kind of beverages.  You buy 7 Cokes, 5 Pepsis and 4 Dr. Peppers.  You pull out two beverages at random.  An

50+50, what is the totel

what is the totel

Product, a product can be anything including physical good,services,places,...

a product can be anything including physical good,services,places,experience,nations,organizations,properties,information.discuss the statement?

Arithmetic progression (a.p.), A series is said to be in Arithmetic...

A series is said to be in Arithmetic Progression (A.P.) if the consecutive numbers in the series differs by a constant value. This constant value is referre

Determine the marginal probability distributions, (1)   The following table...

(1)   The following table gives the joint probability distribution p (X, Y) of random variables X and Y. Determine the following: (a) Do the entries of the table satisfy

Alphabet is any arrangement , A word on an alphabet is any arrangement of t...

A word on an alphabet is any arrangement of the letters in the alphabet. For example,ODD, DOD, DOO, DDD are three-letter words on the alphabet {D,O}. How many four-letter words are

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd