prove that 2a=b+c, Mathematics

Assignment Help:

If the roots of the equation (a-b)x2 + (b-c) x+ (c - a)= 0 are equal. Prove that 2a=b+c.

Ans:    (a-b)x2 + (b-c) x+ (c - a) = 0

T.P 2a = b + c

B2 - 4AC = 0

(b-c)2 - [4(a-b) (c - a)] = 0

b2-2bc + c2 - [4(ac-a2 - bc + ab)] = 0

⇒ b2-2bc + c2 - 4ac + 4a2 + 4bc - 4ab = 0

⇒ b2+ 2bc + c2 + 4a2 - 4ac - 4ab= 0

⇒ (b + c - 2a)2 = 0

⇒ b + c  = 2a

 


Related Discussions:- prove that 2a=b+c

Application of linear equations, Application of Linear Equations We ar...

Application of Linear Equations We are going to talk about applications to linear equations.  Or, put in other terms, now we will start looking at story problems or word probl

Applied Math, Calucations of gradients find f Graph some level curve f=cons...

Calucations of gradients find f Graph some level curve f=const. f=9x^2 = 4y^2

LINEAR EQUATIONS, SOLVE THE inequation 0>-5 -X AND X Belongs TO R .Represen...

SOLVE THE inequation 0>-5 -X AND X Belongs TO R .Represent THE SOLUTION SET ON THE NUMBER LINE

Do yall, do yall help kids in 6th grade

do yall help kids in 6th grade

Graph, Now we need to discuss graphing an equation. The first question whic...

Now we need to discuss graphing an equation. The first question which we have to ask is what accurately is a graph of an equation?  A graph is the set of all the ordered pairs whos

Geometry, how to make an obtuse scalene triangle FAT with m

how to make an obtuse scalene triangle FAT with m

Statistics, How do I choose a distribution test for a sample size of 60? Pr...

How do I choose a distribution test for a sample size of 60? Probability of rolling a 4 on a six sided die.

Economics, A mortgage lender seeks to maximize the expected value of its po...

A mortgage lender seeks to maximize the expected value of its portfolio. The portfolio, of course, is the sum of all of the mortgages in it, so no generality is lost by examining t

Percentage, of all those survey 390 were under 18 years of age if 20%were 1...

of all those survey 390 were under 18 years of age if 20%were 18, how many responded to the survey

Find the radius of the inner circle, The area enclosed between two concentr...

The area enclosed between two concentric circles is 770cm 2 . If the radius of the outer circle is 21cm, find the radius of the inner circle. (Ans :14cm) Ans: Π R 2 - Π r 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