When solved for x, what is the sum when the roots of the quadratic equation are added?
x2 + 10x + 24 = 0
To find the sum of the roots of a quadratic equation, we can use the fact that the sum of the roots is equal to the opposite of the coefficient of the linear term divided by the coefficient of the quadratic term.
For the quadratic equation given: x^2 + 10x + 24 = 0, the coefficient of the linear term is 10 and the coefficient of the quadratic term is 1.
Therefore, the sum of the roots is -10/1, which simplifies to -10.
So, the sum of the roots of the quadratic equation x^2 + 10x + 24 = 0 is -10.
To find the sum of the roots of a quadratic equation, we can use the formula:
Sum of roots = - (coefficient of x) / (coefficient of x^2)
In the given quadratic equation, the coefficient of x^2 is 1, the coefficient of x is 10, and the constant term is 24.
Thus, the sum of the roots can be calculated as:
Sum of roots = - (10) / (1)
= -10
Therefore, the sum of the roots of the quadratic equation x^2 + 10x + 24 = 0 is -10.