Question

Find the discriminant. 3x^(2)+6x+3=0 How many real solutions does the equation have?

Answer 1

The discriminant of the quadratic equation 3x² + 6x + 3 = 0 is 0, which means there is one real solution.

Step-by-step explanation:

To find the discriminant of a quadratic equation of the form ax² + bx + c = 0, you can use the formula b² - 4ac. The equation given is 3x² + 6x + 3 = 0. Let's identify a, b, and c:

• a = 3
• b = 6
• c = 3

Now apply the values to the discriminant formula:

D = b² - 4ac = 6² - 4(3)(3) = 36 - 36 = 0

The discriminant is 0, which indicates that there is exactly one real solution to the equation.