Let and be the real roots of the equation

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Let

x_1

and

x_2

be the real roots of the equation

x^2 - (k-2)x + (k^2 + 3k + 5) = 0

, then the maximum value of

x_1^2 + x_2^2

is : (a) 19 (b) 18 (c)

\frac{50}{9}

(d) non-existent

Related theory

Browse the problem library