quadriatic-equations, Mathematics

Assignment Help:
Q. a(b - c)x^2 + b(c - a)x + c(a - b) = 0 has equal roots then b = ?
Ans: Condition that a quadratic equation ax² + bx + c = 0 has equal roots is:
Its discriminant, b² - 4ac = 0

Applying this, b²(a - c)² - 4ac(a - b)(c - a) = 0

Expanding and simplifying, a²b² + b²c² + 4c²a² + 2ab²c - 4abc² - 4a²bc = 0
(ab + bc - 2ac)² = 0

ab + bc - 2ac = 0

b(a + c) = 2ac

Solving b = 2ac/(a + c)

Related Discussions:- quadriatic-equations

Exponential functions, Exponential Functions : We'll begin by looking at t...

Exponential Functions : We'll begin by looking at the exponential function,                                                              f ( x ) = a x We desire to differe

Control a liner interpolation between original mesh, Use your keyboard to c...

Use your keyboard to control a linear interpolation between the original mesh and its planar target shape a. Each vertex vi has its original 3D coordinates pi and 2D coordinates

Which of the subsequent represents the cost y of phone call, A telephone co...

A telephone company charges $.35 for the first minute of a phone call and $.15 for each additional minute of the call. Which of the subsequent represents the cost y of a phone call

Transportation problems vogel approximation method, if there is a tie betwe...

if there is a tie between two penalties then how to make allocations?

Prime factors, I need help with prime factors.

I need help with prime factors.

Find the volume of the liquid , A vessel in shape of a inverted cone is sur...

A vessel in shape of a inverted cone is surmounted by a cylinder has a common radius of 7cm this was filled with liquid till it covered one third the height of the cylinder. If the

Algebra, Tom has five times as many marbles as Jim. together they have 42 m...

Tom has five times as many marbles as Jim. together they have 42 marbles. how many marbles does each has?

Determine the domain and range of function, Determine the domain of each of...

Determine the domain of each of the following functions.                         f( x ) = x - 4 / x 2 - 2 x -15 Solution With this problem we have to avoid division by

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