Quadratic equation, Mathematics

Assignment Help:

If roots of (x-p)(x-q) = c are a and b

what will be the roots of (x-a)(x-b) = -c    please explain?

Ans) (x-p)(x-q)=c

x2-(p+q)x-c=0

hence,   a+b=p+q

 and      a.b=pq-c

            a.b+c=p.q

by solving other eq we get

x2-(a+b)x+ab+c=0

thus        sum of roots=a+b=p+q

       product of roots=a.b+c=p.q

hence its roots are pand q


Related Discussions:- Quadratic equation

Least common denominator, Let's recall how do to do this with a rapid numbe...

Let's recall how do to do this with a rapid number example.                                                     5/6 - 3/4 In this case we required a common denominator & reme

Consecutive positive odd integers 74 what is integer value, The sum of the ...

The sum of the squares of two consecutive positive odd integers is 74. What is the value of the smaller integer? Let x = the lesser odd integer and let x + 2 = the greater odd

Trigonometry, Solve the following: Line Bearings Distance a...

Solve the following: Line Bearings Distance a. N 15 E 4km b. S 10 E ? c. N 80 W ?

Similar triangles, S IMILAR TRIANGLES : Geometry  is  the  right  ...

S IMILAR TRIANGLES : Geometry  is  the  right  foundation  of all  painting,  I have  decided to  teach its  rudiments  and  principles  to  all  youngsters  eager for  ar

Marketing of herbal products , To help Himalya herbal launch a successful m...

To help Himalya herbal launch a successful marketing campaign in the UK

Compute the value of the following limit, Compute the value of the followin...

Compute the value of the following limit. Solution: Notice as well that I did say estimate the value of the limit.  Again, we will not directly compute limits in this sec

Correlation and regression, 1. Using given data set (Assignment_1data in th...

1. Using given data set (Assignment_1data in the folder) a) Make scatterplot between "Years since first marriage" and "Total children ever born" b) Make scatterplot between

The perimeter square can be expressed as x + 4 estimate x, The perimeter of...

The perimeter of a square can be expressed as x + 4. If one side of the square is 24, what is the value of x? Since the perimeter of the square is x + 4, and a square has four

Payoff Matrix, A farmer grows apples on her 400-acre farm and must cope wit...

A farmer grows apples on her 400-acre farm and must cope with occasional infestations of worms. If she refrains from using pesticides, she can get a premium for "organically grown"

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