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

Compute the double integral - triangle with vertices, 1) let R be the trian...

1) let R be the triangle with vertices (0,0), (pi, pi) and (pi, -pi). using the change of variables formula u = x-y and v = x+y , compute the double integral (cos(x-y)sin(x+y) dA a

Mechanical vibrations, While we first looked at mechanical vibrations we lo...

While we first looked at mechanical vibrations we looked at a particular mass hanging on a spring with the possibility of both a damper or/and external force acting upon the mass.

Numercial analysis and computer techniques, write FORTRAN programme to gene...

write FORTRAN programme to generate prime numbers between 1 and 100

Trig substitutions - integration techniques, Trig Substitutions - Integrati...

Trig Substitutions - Integration techniques As we have completed in the last couple of sections, now let's start off with a couple of integrals that we should previously be

Shiites muhammad''s flight from mecca to medina, The first year of the Isla...

The first year of the Islamic calendar marks the following event: The birth of Muhammad The Qu'ran is assembled into a single sacred text The division of the Sunnis and the Shiites

Find the value of the first instalment, A man arranges to pay a debt of Rs....

A man arranges to pay a debt of Rs.3600 in 40 monthly instalments which are in a AP. When 30 instalments are paid he dies leaving one third of the debt unpaid. Find the value of th

Applications of series - estimating the value of a series, Estimating the V...

Estimating the Value of a Series One more application of series is not actually an application of infinite series.  It's much more an application of partial sums.  Actually, we

Arithmetic/geometric sequences and binomial expansion, find s10 for the ari...

find s10 for the arithmetic sequenxe inwhich a1=5 and a10=68

Write Your Message!

Captcha
Free Assignment Quote

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!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd