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

Find the area of the rhombus, Show that the points (3, 0), (4, 5), (-1, 4) ...

Show that the points (3, 0), (4, 5), (-1, 4) and (-2, -1) taken in order are the vertices of a rhombus. Also find the area of the rhombus.

Multiplucation, 16 times 4

16 times 4

Evaluate numerator and denominator limit, Evaluate following limits. ...

Evaluate following limits. Solution : Let's do the first limit & in this case it sees like we will factor a z 3 out of the numerator and denominator both. Remember that

Non linear regression, solve the parameter estimate in v=a+bx+cx^2

solve the parameter estimate in v=a+bx+cx^2

Rounding, the number is 605176 the underline digit is 0

the number is 605176 the underline digit is 0

Assignment help job, Sir before I applied for online assignment help job an...

Sir before I applied for online assignment help job and the selection process is not complete for me. You sent me problem assignment before.But those problems were not completed.Ca

Rounding, how do you round to the nearest dollars?

how do you round to the nearest dollars?

Stratified sampling, Stratified sampling In stratified sampling case t...

Stratified sampling In stratified sampling case the population is divided into groups in such a way that units in each group are as same as possible in a process called strati

Divition, 1 2/3 divided by 2/3

1 2/3 divided by 2/3

Help, sin(x)+cos(x)

sin(x)+cos(x)

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

Find the area of the rhombus, Show that the points (3, 0), (4, 5), (-1, 4) ...

Multiplucation, 16 times 4

Evaluate numerator and denominator limit, Evaluate following limits. ...

Non linear regression, solve the parameter estimate in v=a+bx+cx^2

Rounding, the number is 605176 the underline digit is 0

Assignment help job, Sir before I applied for online assignment help job an...

Rounding, how do you round to the nearest dollars?

Stratified sampling, Stratified sampling In stratified sampling case t...

Divition, 1 2/3 divided by 2/3

Help, sin(x)+cos(x)

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