Question

Determine the number and type of solutions for x^2 + 4x + 3=0.
A. 1 Rational Double
B. 2 Irrational
C. 2 Rational
D. 2 Complex

Answer 1

Here’s how the discriminant works. Given a quadratic equation ax2 + bx + c = 0, plug the coefficients into the expression b2 – 4ac to see what results:

If you get a positive number, the quadratic will have two unique solutions.

If you get 0, the quadratic will have exactly one solution, a double root.

If you get a negative number, the quadratic will have no real solutions, just two imaginary ones.

Answer 2

answer

C. 2 Rational