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? discriminant = b2 – 4ac

In standard form, the equation is
  x² +4x +4 = 0

The coefficient values are a=1, b=4, c=4, so the discriminant is
  b² - 4ac = 4² - 4(1)(4) = 16 - 16 = 0

The discriminant is zero, so the equation has one (1) real number solution.


That solution is x = -2.