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

How many people should she expect not to show, Laura is planning her weddin...

Laura is planning her wedding. She expects 230 people to attend the wedding, but she has been told that around 5% typically don't show. About how many people should she expect not

How many miles did she average per day, Katie ran 11.1 miles over the last ...

Katie ran 11.1 miles over the last three days. How many miles did she average per day? To ?nd out the average number of miles, you should divide the total number of miles throu

Integers, Whats some negative integers that equal 36

Whats some negative integers that equal 36

What are the average total repair costs per month, An automobile manufactur...

An automobile manufacturer needs to build a data warehouse to store and analyze data about repairs of vehicles. Among other information, the date of repair, properties of the vehic

Math, #question.help.

#question.help.

Word Problem, One box can hold 5 1/2 lbs of nuts and 3 lb 6oz of bolts. Wha...

One box can hold 5 1/2 lbs of nuts and 3 lb 6oz of bolts. What is the total weight for one box?

Math, could you help me get bater at math

could you help me get bater at math

How many pounds should nicole put in every basket, Nicole is forming 20 gif...

Nicole is forming 20 gift baskets. She has 15 pounds of chocolates to distribute equally between the baskets. If each basket gets the similar amount of chocolates, how many pounds

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

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