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

Higher-order derivatives, Higher-Order Derivatives It can be se...

Higher-Order Derivatives It can be seen that the derivative of a function is also a function. Considering f'x as a function of x, we can take the derivative

Mystery Maze, Hi,Is this free?

Hi,Is this free?

Trigonometry, why it is hard?

why it is hard?

Duality., advanteges of duality

advanteges of duality

Permission for xii class, Is there any class in expertsmind for second year...

Is there any class in expertsmind for second year english.?

Levels of significance - rejection and acceptance regions, Levels of signif...

Levels of significance A level of significance is a probability value which is utilized when conducting tests of hypothesis. A level of significance is mostly the probability

Bussiness, How do these websites help the company strengthen its relationsh...

How do these websites help the company strengthen its relationships with its stakeholders? List the website(s) that you previewed and give examples to support your answers. Who are

Calculate plurality based on the number of voters and candid, Consider an e...

Consider an election with 721 voters. A) If there are 5 candidates, at least x votes are needed to have a plurality of the votes. Find x. B) Suppose that at least 73 votes are n

???, a deposit of 10,000 was made to an account the year you were born afte...

a deposit of 10,000 was made to an account the year you were born after 12 years the account is worth 16,600 what is the simple interest rate did the account earn?

Solutions of in-equations, How can I solve the in-equations? Assist me.

How can I solve the in-equations? Assist me.

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

Higher-order derivatives, Higher-Order Derivatives It can be se...

Mystery Maze, Hi,Is this free?

Trigonometry, why it is hard?

Duality., advanteges of duality

Permission for xii class, Is there any class in expertsmind for second year...

Levels of significance - rejection and acceptance regions, Levels of signif...

Bussiness, How do these websites help the company strengthen its relationsh...

Calculate plurality based on the number of voters and candid, Consider an e...

???, a deposit of 10,000 was made to an account the year you were born afte...

Solutions of in-equations, How can I solve the in-equations? Assist me.

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