prove that 2a=b+c, Mathematics

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

 

Posted Date: 4/8/2013 5:05:51 AM | Location : United States







Related Discussions:- prove that 2a=b+c, Assignment Help, Ask Question on prove that 2a=b+c, Get Answer, Expert's Help, prove that 2a=b+c Discussions

Write discussion on prove that 2a=b+c
Your posts are moderated
Related Questions
If a country with a struggling economy is losing the battle of the marketplace, should the affected government adjust its trade barriers to tilt the economic advantage of its domes


i have to get 10 points in 10th class

Find out the roots of the subsequent pure quadratic equation: Find out the roots of the subsequent pure quadratic equation. 4x 2 - 100 = 0 Solution: Using Equation

1) At a midway game at the state fair, the probability of winning an individual game is advertised to be 30% ( p = . 3). Suppose 50 people played the game (assume all 50 outcomes

find the area of this figure in square millimeter measure each segment to the nearest millmeter


Describe the Types of triangles ? Triangles can be classified according to the lengths of the sides or the measures of the angles. 1. Naming triangles by sides An

Two angles are complementary. The calculate of one angle is four times the measure of the other. Evaluate the measure of the larger angle. a. 36° b. 72° c. 144° d. 18°