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

Explain similar figures in similarity, Explain Similar Figures in similarit...

Explain Similar Figures in similarity ? Similar figures are figures that have the same shape but not necessarily the same size, so the image of a figure is similar to the orig

What was joe's approximate raw act score, Using the same mean and standard ...

Using the same mean and standard deviation from problem 10 (mean m = 20.1 and a standard deviation s = 5.8). Joe was informed that he scored at the 68 th percentile on the ACT, wh

Permutation and combination, howmany numbers made by digit 0,1,2,3,5,7,9 bu...

howmany numbers made by digit 0,1,2,3,5,7,9 but any digit isnot repeted

Ploting of mathematical graphs, how can we represent this mathematical equa...

how can we represent this mathematical equation on a graph y=2x-1

Find the sum of all natural numbers, Find the sum of all natural numbers am...

Find the sum of all natural numbers amongst first one thousand numbers which are neither divisible 2 or by 5 Ans:    Sum of all natural numbers in first 1000 integers which ar

Precalculus, describe the end behavior of the following function using Limi...

describe the end behavior of the following function using Limit notation f(x)= 2x-1/x-1

Shares and divident, A man invest ?13500 partly in shares paying 6% at ?140...

A man invest ?13500 partly in shares paying 6% at ?140 and partly in 5% at 125.If he is tolal income is 560, how much has he invested in each?

Exponents, i need help with exponents and how to add them

i need help with exponents and how to add them

Determine the position and nature of stationary points, Question. Deter...

Question. Determine the position and nature of stationary points of the function? f(x,y)= y/x -x 2 +y 2

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