Let be the roots of the equation

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

Problem

Let r,s,tr, s, t be the roots of the equation x3+ax2+bx+c=0x^3 + ax^2 + bx + c = 0, such that (rs)2+(st)2+(rt)2=b2−kac(rs)^2 + (st)^2 + (rt)^2 = b^2 - kac, then k=k = (a) 1 (b) 2 (c) 3 (d) 4

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