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

Mechnics, i have many trouble in this subject

i have many trouble in this subject

Find the polynomial zeros , If two zeros of the polynomial f(x) = x 4 - 6x...

If two zeros of the polynomial f(x) = x 4 - 6x 3 - 26x 2 + 138x - 35 are 2 ± √3.Find the other zeros. (Ans:7, -5) Ans : Let the two zeros are 2 +√3 and 2 - √3 Sum of

Communicating the meaning of addition, COMMUNICATING THE MEANING OF ADDITIO...

COMMUNICATING THE MEANING OF ADDITION : One of the characters in a novel written by the Malayalam writer Vaikom Muhammed Basheer was asked by his teacher, "How much is one and on

Use newtons method to find out an approximation, Use Newton's Method to fin...

Use Newton's Method to find out an approximation to the solution to cos x = x which lies in the interval [0,2]. Determine the approximation to six decimal places. Solution

Statistics, explain the characteristics of statistics

explain the characteristics of statistics

Obligatory application and interpretation problem, Obligatory application/i...

Obligatory application/interpretation problem : Next, we need to do our obligatory application/interpretation problem so we don't forget about them. Example : Assume that the

Determine the probability, Determine the Probability From a pack of pl...

Determine the Probability From a pack of playing cards what is the probability of; (i) Picking either a 'Diamond' or a 'Heart' → mutually exclusive (ii) Picking either

Revenue and profit functions, Now let's move onto the revenue & profit func...

Now let's move onto the revenue & profit functions. Demand function or the price function Firstly, let's assume that the price which some item can be sold at if there is

Point, what will be the activity of the above said title

what will be the activity of the above said title

#title.central tendency of triangles, meaning

meaning

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

Mechnics, i have many trouble in this subject

Find the polynomial zeros , If two zeros of the polynomial f(x) = x 4 - 6x...

Communicating the meaning of addition, COMMUNICATING THE MEANING OF ADDITIO...

Use newtons method to find out an approximation, Use Newton's Method to fin...

Statistics, explain the characteristics of statistics

Obligatory application and interpretation problem, Obligatory application/i...

Determine the probability, Determine the Probability From a pack of pl...

Revenue and profit functions, Now let's move onto the revenue & profit func...

Point, what will be the activity of the above said title

#title.central tendency of triangles, meaning

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