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

Find fourier series, Question: Find Fourier series for the periodic fun...

Question: Find Fourier series for the periodic function of period 2 π,defined by      f(x) = x 4 ,  - π ≤ x ≤ π

Divergence test - sequences and series, Divergence Test Once again...

Divergence Test Once again, do NOT misuse this test.  This test only says that a series is definite to diverge if the series terms do not go to zero in the limit.  If the

Calculate the monthly payment amount of the loan, Consider a student loan o...

Consider a student loan of $12,500 at a fixed APR of 12% for 25 years, 1. What is the monthly payment amount? 2. What is the total payment over the term of the loan? 3. OF

Modi method, why modi method is used in operation research

why modi method is used in operation research

Lesson 3.5 skills practice, Noah is renewing a magazine subscription. one p...

Noah is renewing a magazine subscription. one package offers to renew the magazine for 3 years for 26$. A second package offers to renew the magazine for 5 years for $38

Determine series is convergent or divergent by radio test, Determine if the...

Determine if the following series is convergent or divergent by using Radio Test. Solution With this first illustration let's be a little careful and ensure that we h

Lisa was assigned 64 pages how many more pages must she read, Lisa was assi...

Lisa was assigned 64 pages to read for English class. She has ?nished of the assignment. How many more pages must she read? If Lisa has read 3/4 of the assignment, she has 1/4

Identify the surface for the equation , Identify the surface for each of th...

Identify the surface for each of the subsequent equations. (a) r = 5 (b) r 2 + z 2 = 100 (c) z = r Solution (a)  In two dimensions we are familiar with that this

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