Question

solve the quadratic equation.
$x^2 + x + 5 = 0$
write one exact solution in each box. you can add or remove boxes. if there are no real solutions, remove all boxes.

Explanation:

Step1: Identify coefficients

For quadratic equation \(ax^2 + bx + c = 0\), here \(a = 1\), \(b = 1\), \(c = 5\).

Step2: Calculate discriminant

Discriminant \(D = b^2 - 4ac\). Substitute values: \(D = 1^2 - 4\times1\times5 = 1 - 20 = -19\).

Step3: Analyze discriminant

Since \(D = -19 < 0\), the quadratic equation has no real solutions (only complex solutions).

Answer:

(No real solutions, so no boxes with real numbers)