If R is the set of real numbers, Q is the set of rational numbers, I is the set of integers, N is the set of natural numbers, and S is the set of irrational numbers, list the set(s)for which a solution to the given equation exists. If a solution to the given equation does not belong to any set, state none.
-$\sqrt { x } = - 25$
A) $R$
B) none
C) $Q , R$
D) $S , R$

Question

Quizplus · Accepted Answer

The equation $\sqrt{x} = -25$ has no solution in the real numbers (R) because the square root of a number cannot be negative. Therefore, it also does not have solutions in any subsets of the real numbers, including rational numbers (Q), integers (I), natural numbers (N), and irrational numbers (S).

If R Is the Set of Real Numbers, Q Is x=−25\sqrt { x } = - 25x​=−25

If R Is the Set of Real Numbers, Q Is $\sqrt { x } = - 25$