Question

Use the quadratic equation x^2+3x+5=0 to answer the questions. A: What is the discriminant of the quadratic equation? B: Based on the discriminant, which statement about the number and type of solutions to the equation is correct?

A: 11
A: 29
A: −11
A: −29
B: The equation has two complex solutions.
B: The equation has one repeated real solution.
B: The equation has two real solutions.

Answer 1

A:-11

B: has no real solutions

Explanation:

For this equation: a=1, b=3, c=5

1x2+3x+5=0

Step 1: Use quadratic formula with a=1, b=3, c=5.

x=

−b±√b2−4ac

2a

x=

−(3)±√(3)2−4(1)(5)

2(1)

x=

−3±√−11

2

Answer:

No real solutions.

Answer 2

A: -11

B: Two complex solutions

Explanation:

The discriminant of this equation is 3^2-20=9-20=-11. Since the discriminant is negative, its square root will be an imaginary number, and there will be two complex solutions. Hope this helps!