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.
-$$x ^ { 2 } = 3$$
A) $Q , R$
B) $S$
C) $S , R$
D) $\mathrm { R }$

Question

Quizplus · Accepted Answer

The equation $x^2 = 3$ has solutions that are irrational numbers, specifically $\sqrt{3}$ and $-\sqrt{3}$. Since irrational numbers are a subset of real numbers, the solution set includes both $S$ (irrational numbers) and $R$ (real numbers).

If R Is the Set of Real Numbers, Q Is x2=3x ^ { 2 } = 3x2=3

If R Is the Set of Real Numbers, Q Is $x ^ { 2 } = 3$