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

How far is that person from the starting point, A person travels 10 miles d...

A person travels 10 miles due north, 6 miles due west, 4 miles due north, and 12 miles due east. How far is that person from the initail state? a. 23 miles northeast b. 13 mi

how many of the original vectors, We have claimed that a randomly generate...

We have claimed that a randomly generated point lies on the equator of the sphere  independent of where we pick the North Pole.  To test this claim randomly generate ten  vectors i

Rectilinear figures, what are rctilinear figures ? types of rectilinear fig...

what are rctilinear figures ? types of rectilinear figures and their propertiees.

Multiplication and division should be learnt intermeshed, E1) Do you agree ...

E1) Do you agree that multiplication and division should be learnt intermeshed with each other, or not? Give reasons for your answer.  E2) How would you explain to children wh

RATIO, 3 years to 104 weeks,express answer in ratio

3 years to 104 weeks,express answer in ratio

Ratio-categories of situations requiring division , Ratio - situations in ...

Ratio - situations in which we need to compare two quantities in terms of their ratio. (e.g., if Munna weighs 40 Kg. and Munni weighs 50 Kg., find the ratio of their weights.)

Testing the difference between two sample means-illustration, An observatio...

An observation was made concerning reading abilities of males and females. The observation leads to a conclusion that females are faster readers than males. The observation was bas

Determine the number of combinations, 3 items x, y and z will have 6 differ...

3 items x, y and z will have 6 different permutations however only one combination. The given formular is generally used to determine the number of combinations in a described situ

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