Answer:
OD) x = -2, -5
Explanation:
To solve the quadratic equation x^2 + 7x + 10 = 0, we can use factoring or the quadratic formula.
Using factoring:
We need to find two numbers whose sum is 7 and whose product is 10. These numbers are 2 and 5. So, we can write x^2 + 7x + 10 = 0 as (x + 2)(x + 5) = 0.
Setting each factor to 0, we get x + 2 = 0 or x + 5 = 0. Solving for x, we get x = -2 or x = -5.
Using the quadratic formula:
The quadratic formula is x = (-b ± sqrt(b^2 - 4ac)) / 2a, where a, b, and c are the coefficients of the quadratic equation. In this case, a = 1, b = 7, and c = 10.
Substituting these values into the formula, we get x = (-7 ± sqrt(7^2 - 4(1)(10))) / 2(1)
Simplifying, we get x = (-7 ± sqrt(9)) / 2
Therefore, x = (-7 + 3) / 2 or x = (-7 - 3) / 2
Solving for x, we get x = -2 or x = -5.
Thus, the solutions of the quadratic equation x^2 + 7x + 10 = 0 are x = -2 or x = -5.
Therefore, the answer is (OD) x = -2, -5.