Solve the Quadratic Equation: x² + 5x + 10 = 0

Video Solution

Solution Steps

00:00 Find X

00:03 Pay attention to the coefficients

00:13 Use the roots formula

00:23 Substitute appropriate values according to the given data and solve for X

00:49 Calculate the products and the square

01:04 There's no such thing as a root of a negative number, therefore there is no solution

01:10 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

Step 1: Calculate the discriminant using the formula:

$\Delta = b^2 - 4ac = 5^2 - 4 \times 1 \times 10 = 25 - 40 = -15$ .

Step 2: Analyze the discriminant:

Since the discriminant ( $\Delta$ ) is negative ( $-15$ ), this indicates that the quadratic equation has no real solutions.

Therefore, the final solution is that the equation $x^2 + 5x + 10 = 0$ has no solution.

Comparing this with the given answer choices, the correct choice is:

Choice 3: No solution