Show that a, b, c are in arithmetic progressions, Mathematics

Assignment Help:

If the roots of the equation (b-c)x2 +(c-a)x +(a-b) = 0 are equal show that a, b, c are in AP.

Ans:    Refer sum No.12 of Q.E.

If (b-c)x2 + (c-a)x + (a-b)x have equal root.

B2-4AC=0.

Proceed as in sum No.13 of Q.E to get c + a = 2b

⇒ b - a = c - b

⇒ a, b, c are in AP

 


Related Discussions:- Show that a, b, c are in arithmetic progressions

How would the society be strengthened, All things considered, in a sense of...

All things considered, in a sense of ethnicity (a sense of identification with and loyalty to one's group) good or bad? is it harmful or helpful? What would be lost if Americans lo

Differential equations, verify liouville''s theorem for y''''''-y''''-y''+...

verify liouville''s theorem for y''''''-y''''-y''+y=0

Can religious wars be avoided in the future, To what extent do you think re...

To what extent do you think religious beliefs should justify war? How is this shown in "The Song of Roland"? Cite examples of how religious beliefs have led to war in the last two

Geometry, Ask question A triangle has two sides that measure 23 ft and 30 f...

Ask question A triangle has two sides that measure 23 ft and 30 ft. Which could be the measure of the third side? A. 5 ft B. 7 ft C. 10 ft D. 53 ft #Minimum 100 words accepted

Prime factors, I need help with prime factors.

I need help with prime factors.

What is angles, What is Angles? An angle is made up of two rays with a ...

What is Angles? An angle is made up of two rays with a common endpoint, which is called the vertex. The sides of the angle are rays. An angle is denoted by "θ". When two li

Union and intersection - set theory, Union and Intersection - Set theory ...

Union and Intersection - Set theory B ∩ C indicates the intersection of B and C. it is the set having all those elements that belong to both B and C If B = {5, 8, 11, 20, 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