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

Velocity problem, Velocity Problem : Let's look briefly at the velocity pr...

Velocity Problem : Let's look briefly at the velocity problem.  Several calculus books will treat it as its own problem.  .  In this problem we are given a position function of an

Define the correlations, A retention counselor at a state university believ...

A retention counselor at a state university believes that freshman year success is related to high school standard tests in math and reading, and in the number of credits the stude

What is the radius of the traffic circle, In traveling three-fourths of the...

In traveling three-fourths of the way around a traffic circle a car travels 0.228 mi.  What is the radius of the traffic circle? The radius of the traffic circle is ____ mi.

Logs, the variables x and y are thought to be related by a law of the form ...

the variables x and y are thought to be related by a law of the form ay^2=(x+b)lnx Where a and b are unknown constants. Can a and b be found and how.

Title expressions equivalent, 2x40 420x4 7x240 84x20 Explain h...

2x40 420x4 7x240 84x20 Explain how three expressions are equivalent.

Find the value of a+b, If A, B are acute angles and sinA= cosB, then find t...

If A, B are acute angles and sinA= cosB, then find the value of A+B. Ans:    A + B = 90 o

Describe about parallel and perpendicular lines, Describe about Parallel an...

Describe about Parallel and Perpendicular Lines ? Parallel Lines : Parallel lines are coplanar lines (lines that lie in the same plane) that never intersect. The bl

Determine and classify all critical points , Determine and classify all the...

Determine and classify all the critical points of the given function.  Described the intervals where function is increasing & decreasing. Solution: Firstly we'll require

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