The problem states that for the quadratic equation x2 + ax + b = 0, the solution set in real numbers is empty. This means the equation has no real roots.

The problem states that for the quadratic equation $x^2 + ax + b = 0$, the solution set in real numbers is empty. This means the equation has no real roots.
For a quadratic equation $Ax^2 + Bx + C = 0$ to have no real roots, its discriminant $\Delta$ must be less than zero ($\Delta < 0$).

Step 1: Calculate the discriminant for the given equation.
For $x^2 + ax + b = 0$, we have $A=1$, $B=a$, and $C=b$.
The discriminant is given by the formula $\Delta = B^2 - 4AC$.

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