Final answer:
The discriminant of the quadratic equation is 24, which indicates that there are two real number solutions.
Step-by-step explanation:
To determine the discriminant for the quadratic equation – the equation must first be written in the standard form ax²+bx+c=0. The given equation appears to have a typo, but it seems to represent x² + 4x + 1 = 3. By rearranging it, we obtain x² + 4x - 2 = 0, where a=1, b=4, and c=-2. Now, we calculate the discriminant using the formula b² - 4ac, which equals 4² - 4(1)(-2) = 16 + 8 = 24.
Since the discriminant is positive, this indicates that the quadratic equation has two real number solutions.