Question

Which two values of x are roots of the polynomial below

x2 + 3x + 5
O A. x= -3 * v=17
OB. x= -3 + 29
C. X= -3 - 77
D. X=-3+ V11
E. x= -3 - 771
OF * = -3 - 29

Answer 1

The equation x^2 + 3x + 5 has complex roots since the discriminant is negative. None of the given options are correct as they all represent real numbers. We must use the quadratic formula to find the complex roots.

Step-by-step explanation:

The question is asking for the roots of a quadratic equation, which is a mathematical problem where we are solving for the values of x that make the equation equal to zero. The provided equation is x^2 + 3x + 5. Since this is a quadratic equation, we can solve for x using the quadratic formula, which is x = (-b ± √(b^2 - 4ac)) / (2a). For this equation, a = 1, b = 3, and c = 5. Substituting these values into the quadratic formula:

x = (-3 ± √(3^2 - 4(1)(5))) / (2(1))
x = (-3 ± √(9 - 20)) / 2
x = (-3 ± √(-11)) / 2

Since the discriminant (under the square root) is negative, the equation does not have real roots; instead, it has complex roots. Therefore, the correct answer is not listed among the options given to the student, as all options represent real numbers.