Solve 1x² + 4x + 4 = 0 | Quadratic Equation Calculator

Calculate the roots, discriminant, and vertex of the quadratic equation 1x² + 4x + 4 = 0. Step-by-step solution with detailed explanation.

Solve: 1x² + 4x + 4 = 0

Coefficient a

Coefficient b

Coefficient c

Calculate Roots

Results

Equation:

1x² + 4x + 4 = 0

Nature of Roots:

Real and Equal

Discriminant:

0.0000

Roots:

x₁ = -2.0000

x₂ = -2.0000

Vertex:

(-2.0000, 0.0000)

Axis of Symmetry:

x = -2.0000

Quadratic Formula: x = (-b ± √(b² - 4ac)) / (2a)

Calculation: x = (-4 ± √(4² - 4×1×4)) / (2×1)

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How to Solve This Equation

Step 1: Identify Components

• a = 1
• b = 4
• c = 4

Step 2: Apply Quadratic Formula

x = (-(4) ± √(4² - 4(1)(4))) / (2(1))

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