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 to convert percentages to decimals, Q. How to Convert Percentages to De...

Q. How to Convert Percentages to Decimals? Ans. Since percent stands for "hundredths", to write a percentage as a decimal you just need to find how many hundredths it repr

Factors, Question Suppose that f(x) has (x - 2) 2 and (x + 1) as its on...

Question Suppose that f(x) has (x - 2) 2 and (x + 1) as its only factors. Sketch the graph of f. State all the zeros of f.

Show that the height of the opposite house, From a window x meters hi...

From a window x meters high above the ground in a street, the angles of elevation and depression of the top and the foot of the other house on the opposite side of the street  are

Give the examples in real world of proportions , Give the Examples in Real ...

Give the Examples in Real World of Proportions? Proportions can be used in cooking. For example, the following is a set of ingredients for a pasta called "Spaghetti All' Amatri

Find out the roots of the subsequent pure quadratic equation, Find out the ...

Find out the roots of the subsequent pure quadratic equation: Find out the roots of the subsequent pure quadratic equation. 4x 2 - 100 = 0 Solution: Using Equation

Define tautology and contradiction, Define tautology and contradiction.  ...

Define tautology and contradiction.  Ans: If a compound proposition comprises two atomic propositions as components, after that the truth table for the compound proposition con

How many miles to the gallon does marci''s car get, Marci filled her car's ...

Marci filled her car's gas tank on Monday, and the odometer read 32,461.3 miles. On Friday while the car's odometer read 32,659.7 miles and she filled the car's tank again. It will

Geometry, #pqrs is a parallelogram its adjacent side is 2:1.state tHE angle...

#pqrs is a parallelogram its adjacent side is 2:1.state tHE angles

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