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

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

 

Posted Date: 4/8/2013 5:31:16 AM | Location : United States







Related Discussions:- Show that a, b, c are in arithmetic progressions, Assignment Help, Ask Question on Show that a, b, c are in arithmetic progressions, Get Answer, Expert's Help, Show that a, b, c are in arithmetic progressions Discussions

Write discussion on Show that a, b, c are in arithmetic progressions
Your posts are moderated
Related Questions
Solve the form ax 2 - bx - c factoring polynomials ? This tutorial will help you factor quadratics that look something like this: 2x 2 -3x - 14 (Leading coefficient is

The freshman class is participating in a fundraiser. Their target is to raise $5,000. After the first two days of the fundraiser, they have raised 32 percent of their goal. How man

Interpretations of Definite Integral There are some quick interpretations of the definite integral which we can give here. Firstly, one possible interpretation of the defini

i just have one question i need help on for my geometry homework

A patient will receive hemodialysis for 2.5 hours. The amount of fluid removed per hour is 1.4 liters. The total amount removed in liters, will be

how to do them?

how to find area under a curve?



Mean, variance, skewness and kurtosis of a probability density function f(r)that has a distribution of a passive scalar filed in a stationary isotropic turbulence for initial condi