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

Simple interest, write a program C++ programming language to calculate sim...

write a program C++ programming language to calculate simple interest, with it algorithm and it flowchart

Chi-square test, my question involves frequencies less than five and i cann...

my question involves frequencies less than five and i cannot aggregate the data, what do i use instead of the chi-square test?

., WRITE the condition that should be fulfilled by two matrices A&B to get ...

WRITE the condition that should be fulfilled by two matrices A&B to get the product AB and BA

Compute the derivative, Write an octave program that will take a set of poi...

Write an octave program that will take a set of points {x k , f k } representing a function and compute the derivative at the same points x k using 1. 2-point forward di erence

Triangles, if P is a point in the interior of a triangles ABC,prove that AB...

if P is a point in the interior of a triangles ABC,prove that AB>BC+CA

Problem solving involving quadratic equations, a painting is 20 cm wider th...

a painting is 20 cm wider than its height. its area is 2400 centimeter squared. find its lenght and width

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