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

Mount everest is 29, Mount Everest is 29,028 ft high. Mount Kilimanjaro is ...

Mount Everest is 29,028 ft high. Mount Kilimanjaro is 19,340 ft high. How much taller is Mount Everest? Subtract Mt. Kilimanjaro's height from Mt. Everest's height; 29,028 - 19

Pair of linear equations in two variables, PAIR OF LINEAR EQUATIONS IN TWO ...

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES: Like  the  crest  of a  peacock so  is  mathematics  at the  head of all knowledge. Example At a certain time in a deer park, t

Phase plane, Before proceeding along with in fact solving systems of differ...

Before proceeding along with in fact solving systems of differential equations there's one topic which we require to take a look at. It is a topic that's not at all times taught in

Types of distribution, Types of distribution Population distribution ...

Types of distribution Population distribution This refers to the distribution of the individual values of population. This mean it is denoted by 'µ' Sample distributi

Trigonometric ratios, How do you find the ratio for these problems?

How do you find the ratio for these problems?

Discrete mathmatics, give an example of a relation R that is transitive whi...

give an example of a relation R that is transitive while inverse of R is not

Arc length with polar coordinates, Arc Length with Polar Coordinates H...

Arc Length with Polar Coordinates Here we need to move into the applications of integrals and how we do them in terms of polar coordinates.  In this part we will look at the a

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