175k views
1 vote
I am thinking of a whole number greater than 0 whose square equals to its square root. How many such numbers are there?

(A) 0
(B) 1
(C) 2
(D) 4

User Marzy
by
8.4k points

1 Answer

6 votes

Answer:

(B) 1

Explanation:

The number of such integers will be the number of places where the functions f(x) = x² and g(x) = √x intersect.

Graphical solution

The attachment shows the graphical solution to f(x) = g(x) for x > 0. There is exactly one point of intersection at x=1.

There is one such number.

I am thinking of a whole number greater than 0 whose square equals to its square root-example-1
User Sam Beckham
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories