+91-87964 74404
FlagBACK
Question icon
Algebra

Let p,q ,r be the elements of R , and r >p>0. If the quadratic equation p(x^2) + qx +r = 0 has two complex roots a and b then |a| + |b| is..

Profile image of Meghendra Agrawal
7 Years agoGrade
Answers icon

1 Answer

Profile image of Aditya Gupta
7 Years ago
obviously b=a conjugate
so |a| + |b|= 2|a| (as modulus of conjugate=modulus of complex no)
now, q^2 – 4pr
then x=[ –q+-m*i]/2p
|x|=root(q^2+m^2)/2p=root(4pr)/2p
=root(r/p)
so |a| + |b|=2root(r/p)

Other Related Questions on algebra

question mark
What is a binomial expression?
algebra
1 Answer Available

Last Activity: 2 Years ago

question mark
Can we divide two vectors? If this is possible then how?
algebra
1 Answer Available

Last Activity: 2 Years ago

question mark
How do you write “the product of 18 and q” as an algebraic expression?
algebra
1 Answer Available

Last Activity: 2 Years ago

question mark
दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे
algebra
1 Answer Available

Last Activity: 3 Years ago

question mark
Find the least number of square tiles by which the floor of a room of dimensions 16.58 m and 8.32 m can be covered completely. why HCF and not LCM as “least” keywor dis given?
algebra
1 Answer Available

Last Activity: 3 Years ago