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

Algebra, how do you solve quadratic equations by factoring?

how do you solve quadratic equations by factoring?

Right angled triangle, In proving relation of trigonometric ratios we becam...

In proving relation of trigonometric ratios we became confused that what should we do next, so to complete any question quickly what should we do?

Statistics, marks frequency 0-9 8 10-19 10 20-29 ...

marks frequency 0-9 8 10-19 10 20-29 14 30-39 28 40-49 46 50-59 25 60-69 17 70-79 9 80-89 2 90-99 1 (

Accumulated amount , $26,000 is spended for two years. In the first year it...

$26,000 is spended for two years. In the first year it gets interest at 8.3% p.a. compounded semi annually. In the same year the rate of interest changes to 7.5% p.a. compounded da

Marketing research, project assignment of page no.19 question no.2

project assignment of page no.19 question no.2

Static or dynamic, Consider a discrete-time system that is characterized by...

Consider a discrete-time system that is characterized by the following difference equation: Y(n) = x(n)cos? 0 n, where ? 0  is constant value, x(n)are the discrete-time input

#titl., class 10 Q.trigonometric formula of 1 term

class 10 Q.trigonometric formula of 1 term

Differentiation, how to write assignment of the application of differentiat...

how to write assignment of the application of differentiation in science

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