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.

Solution)  (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

Sum, As1212uestion #Minimum 100 words accepted#

As1212uestion #Minimum 100 words accepted#

Find the probability of drawing a diamond card, Find the probability of dra...

Find the probability of drawing a diamond card in each of the two consecutive draws from a well shuffled pack of cards, if the card drawn is not replaced after the first draw

Determine the eigenvalues and eigenvectors of the matrix, Determine the eig...

Determine the eigenvalues and eigenvectors of the subsequent matrix. Solution : The first thing that we require to do is determine the eigen-values. It means we require

Determine the team having similar code-pigeon hole principle, Shirts number...

Shirts numbered consecutively from 1 to 20 are worn by 20 members of a bowling league. While any three of these members are selected to be a team, the league aims to use the sum of

Boundary value problem, solve the in-homogenous problem where A and b are c...

solve the in-homogenous problem where A and b are constants on 0 ut=uxx+A exp(-bx) u(x,0)=A/b^2(1-exp(-bx)) u(0,t)=0 u(1,t)=-A/b^2 exp(-b)

Laws of set algebra, Laws of Set Algebra From the given Venn diagram w...

Laws of Set Algebra From the given Venn diagram where T is the universal set and A its subset that we can deduce a number of laws as: i. A υ Ø = A ii. A υ T = T

Project, elliptical path of celestial bodies

elliptical path of celestial bodies

Find the polynomial g(x), On dividing the polynomial 4x 4 - 5x 3 - 39x 2 ...

On dividing the polynomial 4x 4 - 5x 3 - 39x 2 - 46x - 2 by the polynomial g(x) the quotient is x 2 - 3x - 5 and the remainder is -5x + 8.Find the polynomial g(x). (Ans:4 x 2 +

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