Question

do quadratic equations have no real number solutions always sometimes or never?

Answer 1

Sometime.

There are quadratic equations with two real solutions such as \(x^2-1\)

There are quadratic equations with one real solution such as \((x+1)^2\)

There are quadratic equations that have no solution such as \(x^2+1\)

Answer 2

By "no solution," I mean no real number solution.