Find the range of values for k for which the equation $x^2+(a-2)x+(a+3)=0$ had no real roots

Question

I don't understand the question at all.

Find the range of values for a for which the equation $x^2+(a-2)x+(a+3)=0$ has no real roots.

Answer 1

There are certain values of a for which the equation has no real roots. You have to find out which ones.

1. Translate "the equation has no real roots" in mathematical terms (for example, you might use the determinant of the equation).

2. Develop and find a condition on a.

3. Conclude and profit.