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

Pde, i find paper that has sam my homework which i need it, in you website...

i find paper that has sam my homework which i need it, in you website , is that mean you have already the solution of that ?

Trigonometry, If tanA+sinA=m and m2-n2 = 4vmn, show that tanA-sinA=n

If tanA+sinA=m and m2-n2 = 4vmn, show that tanA-sinA=n

Geometry, calculate the area of a trapezoid with height 8cm base 18cm and 9...

calculate the area of a trapezoid with height 8cm base 18cm and 9cm

Share and divivdend, i m making a project on share and dividend. will u pls...

i m making a project on share and dividend. will u pls give the all of 10pages information ?

Solving an equation problems, Temperature: On one day in Fairfield, Montana...

Temperature: On one day in Fairfield, Montana the temperature dropped 80 degree fahrenheit from noon to midnight. If the temperature at midnight was -21 degree fahrenheit, write an

Real number, if HCFof 657 and 963 is expressable in the form of 657x+963x-1...

if HCFof 657 and 963 is expressable in the form of 657x+963x-15findx

Quantitative, A lobster catcher spends $12 500 per month to maintain a lobs...

A lobster catcher spends $12 500 per month to maintain a lobster boat. He plans to catch an average of 20 days per month during lobster season. For each day, he must allow approx

Forecast errors, Forecast Errors Differences among actual results and ...

Forecast Errors Differences among actual results and predictions may arise from many reasons. They may arise from random influences, usual sampling errors, option of the wrong

Indices, 16 raised to the power x eqaual to x raised to the power 2. find x...

16 raised to the power x eqaual to x raised to the power 2. find x

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