Determine the discriminant for the quadratic equation -3=x2+4x+1. Based on the discriminant value, how many real number solutions does the equation have?

Question

Discriminant = b2-4ac

0
1
2
12

Answer 1

Discriminant = (4)2 - 4(1)(-3) = 16 + 12 = 28

Since the discriminant is positive (28), the quadratic equation has 2 real number solutions.