quadriatic-equations, Q. a(b - c)x^2 + b(c - a)x + c(a - b) = 0 has equal roots then b =, Mathematics

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

Doubles Plus 1 and Doubles Minus 1, Write the doubles fact you used to solv...

Write the doubles fact you used to solve the problem. 7 + 8 = 15

Falsi method, f(x)=ex -3x

f(x)=ex -3x

Determine the length of the diagonal, A box is 30 cm long, 8 cm wide and 12...

A box is 30 cm long, 8 cm wide and 12 cm high. Determine the length of the diagonal AB ? Round to the nearest tenth. a. 34.5 cm b. 32.1 cm c. 35.2 cm d. 33.3 cm

Reduction formulae, Reduction formulae Script for Introduction: ...

Reduction formulae Script for Introduction: First let us know what is meant by reduction formula. In simple words, A formula which expressess(or re

I don"t knoe yhe answer, 24x+7=3x+10

24x+7=3x+10

Total linear attenuation, Consider the task of identifying a 1 cm thick bre...

Consider the task of identifying a 1 cm thick breast cancer that is embedded inside a 4.2 cm thick fibroglandular breast as depicted in Fig. The cancerous tumor has a cross

Differential equation, degree of a diffrential equation

degree of a diffrential equation

Linear programming, briefly explain what is meant by LPP

briefly explain what is meant by LPP

Why x and y are simplifying expressions, Why x and y are Simplifying Expres...

Why x and y are Simplifying Expressions? You're doing algebra now, and you know you're going to see x's and y's. But before we work with x's and y's, we'll explore why we use t

Factorization, #question.x2-y2-4x-2y+3.

#question.x2-y2-4x-2y+3.

Write Your Message!

Name

Email id

Message

Verfication Code

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!

Submit Assignment

User Account

All Pages

quadriatic-equations, Mathematics

Related Discussions:- quadriatic-equations

Doubles Plus 1 and Doubles Minus 1, Write the doubles fact you used to solv...

Falsi method, f(x)=ex -3x

Determine the length of the diagonal, A box is 30 cm long, 8 cm wide and 12...

Reduction formulae, Reduction formulae Script for Introduction: ...

I don"t knoe yhe answer, 24x+7=3x+10

Total linear attenuation, Consider the task of identifying a 1 cm thick bre...

Differential equation, degree of a diffrential equation

Linear programming, briefly explain what is meant by LPP

Why x and y are simplifying expressions, Why x and y are Simplifying Expres...

Factorization, #question.x2-y2-4x-2y+3.

Write Your Message!

Featured Services

Online Tutoring

Project Development

Exam Preparation

Course Help

Assignment Help

Popular Subjects

Assured A++ Grade

Academics

Major Subjects

Majors

Get In Touch

TERMS & POLICIES

HELP & SUPPORT