Question

If between two numbers which are root of given equation. x^2 – 18x + 16 = 0, a GM is inserted then the value of that GM is?

(a) 4

(b) 5

(c) 6

(d) 16

I got this question in exam.

My doubt stems from Arithmetic and Geometric Mean in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer 1

The correct choice is (a) 4

To elaborate: x^2 – 2Ax + G^2 = 0, here G^2 = 16 and therefore G = 4.