The equation x^2 + 4x + 4 = 0 has:

₹0.0

Question: The equation x^2 + 4x + 4 = 0 has:

Options:

Correct Answer: One repeated root

Solution:

The discriminant is 0, indicating one repeated root.

The equation x^2 + 4x + 4 = 0 has:

The equation x^2 + 4x + 4 = 0 has:

Step 1: Identify the equation you need to solve, which is x^2 + 4x + 4 = 0.
Step 2: Recognize that this is a quadratic equation in the form ax^2 + bx + c, where a = 1, b = 4, and c = 4.
Step 3: Calculate the discriminant using the formula D = b^2 - 4ac.
Step 4: Substitute the values of a, b, and c into the formula: D = (4)^2 - 4(1)(4).
Step 5: Simplify the calculation: D = 16 - 16 = 0.
Step 6: Interpret the result: Since the discriminant (D) is 0, this means there is one repeated root.

Quadratic Equations – Understanding the standard form of a quadratic equation and how to find its roots using the discriminant.
Discriminant – The discriminant (b^2 - 4ac) determines the nature of the roots of a quadratic equation.
Repeated Roots – A discriminant of 0 indicates that the quadratic equation has one repeated root.