What is the value of b² – 4ac for the quadratic equation 2x² + 2x + 1 = 0?

by

To find the value of b² – 4ac for the given quadratic equation 2x² + 2x + 1 = 0, we first identify the coefficients a, b, and c from the standard form of a quadratic equation, which is ax² + bx + c = 0.

  • a = 2
  • b = 2
  • c = 1

Now, we can plug these values into the formula for the discriminant:

b² – 4ac = (2)² – 4(2)(1)

Calculating this step-by-step:

  1. First calculate (2)²: 4
  2. Next calculate 4(2)(1): 8
  3. Now, substitute these values into the formula: 4 – 8
  4. Finally, perform the subtraction: -4

Therefore, the value of b² – 4ac for the equation 2x² + 2x + 1 = 0 is -4.

Leave a Comment