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

Division, 1000000 divided by 19

1000000 divided by 19

Trigonometry, Sin+cos

Sin+cos

Reduce the rational expression to lowest terms, Reduce the following ration...

Reduce the following rational expression to lowest terms. x 2 - 2 x - 8/ x 2 - 9 x + 20 Solution When reducing a rational expressio

Shares and dividend, write a short note on shares and dividend under the fo...

write a short note on shares and dividend under the following heading: shares ,type of shares,face/nominal value of shares.

Pair of straight lines, find the equation of locus of point which lies on b...

find the equation of locus of point which lies on bisectors of angles between the coordinate axes

Find a general solution to the differential equation, Example: Find a gene...

Example: Find a general solution to the subsequent differential equation. 2 y′′ + 18 y + 6 tan (3t) Solution First, as the formula for variation of parameters needs coe

Calculators, i need help in math

i need help in math

Determine the length of the field, A rectangular field is to be fenced in c...

A rectangular field is to be fenced in completely. The width is given as 22 yd and the total area is 990 yd 2 . Determine the length of the field? a. 31 yd b. 45 yd c. 968

Problem solving, Let E; F be 2 points in the plane, EF has length 1, and le...

Let E; F be 2 points in the plane, EF has length 1, and let N be a continuous curve from E to F. A chord of N is a straight line joining 2 points on N. Prove if 0 and N has no cho

What is the circumfererence of a cir cle that is 11 in., what is the circum...

what is the circumference of a circle that is 11 in.

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

Division, 1000000 divided by 19

Trigonometry, Sin+cos

Reduce the rational expression to lowest terms, Reduce the following ration...

Shares and dividend, write a short note on shares and dividend under the fo...

Pair of straight lines, find the equation of locus of point which lies on b...

Find a general solution to the differential equation, Example: Find a gene...

Calculators, i need help in math

Determine the length of the field, A rectangular field is to be fenced in c...

Problem solving, Let E; F be 2 points in the plane, EF has length 1, and le...

What is the circumfererence of a cir cle that is 11 in., what is the circum...

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