x^2-3=-4 — step-by-step solution

Let's solve in

ℝ

x^{2} - 3 = -4

ⓘ We add

3

to both sides

x^{2} = - 4 + 3

ⓘ Start from

-4

and move forward

3

on the number line, getting closer to zero:

- 4 + 3

-1

x^{2} = -1

In ℝ, a square is never negative: no real number has

-1

as its square

▶Solution:

x \in \emptyset