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

Diffrentiation, y=f(a^x)   and f(sinx)=lnx find dy/dx Solution) dy/dx...

y=f(a^x)   and f(sinx)=lnx find dy/dx Solution) dy/dx = (a^x)(lnx)f''(a^x), .........(1) but f(sinx) = lnx implies f(x) = ln(arcsinx) hence f''(x) = (1/arcsinx) (1/ ( ( 1-x

Project, elliptical path of celestial bodies

elliptical path of celestial bodies

Binary to decimal, 01010011 01100101 01101101 01110000 01100101 01110010 00...

01010011 01100101 01101101 01110000 01100101 01110010 00100000 01000110 01101001 00100001

Monomial, express the area of a square with sides of length 5ab as monomial...

express the area of a square with sides of length 5ab as monomial

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 =

Find out if the following series converges or diverges, Determine or find o...

Determine or find out if the following series converges or diverges.  If it converges find out its value. Solution We first require the partial sums for this series.

Evaluate the rational exponents, Evaluate each of the following.  (a) 2...

Evaluate each of the following.  (a) 25 1/2  (b) 32 1/5 Solution  (a) 25 1/2 Thus, here is what we are asking in this problem.                             2

Fenrir chain, Fenrir the wolf is bound by a magical chain. The chain is an ...

Fenrir the wolf is bound by a magical chain. The chain is an endless piece madr up of 30 links.Originally forged by 6 pieces , each made up of 5 links. It costs 2 silver coins to c

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