Let are positive real numbers such that

MATHEMATICS · Single correct · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

Let

a, b, c, d

are positive real numbers such that

\frac{a}{b} \neq \frac{c}{d}

, then the roots of the equation:

(a^2 + b^2)x^2 + 2x(ac + bd) + (c^2 + d^2) = 0

are: (a) real and distinct (b) real and equal (c) imaginary (d) nothing can be said