Solve 1x² + 2x + 4 = 0 | Quadratic Equation Calculator

Calculate the roots, discriminant, and vertex of the quadratic equation 1x² + 2x + 4 = 0. Step-by-step solution with detailed explanation.

Solve: 1x² + 2x + 4 = 0

Coefficient a

Coefficient b

Coefficient c

Calculate Roots

Results

Equation:

1x² + 2x + 4 = 0

Nature of Roots:

Complex

Discriminant:

-12.0000

Roots:

x₁ = -1.0000 + 1.7321i

x₂ = -1.0000 - 1.7321i

Vertex:

(-1.0000, 3.0000)

Axis of Symmetry:

x = -1.0000

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

Calculation: x = (-2 ± √(2² - 4×1×4)) / (2×1)

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How to Solve This Equation

Step 1: Identify Components

• a = 1
• b = 2
• c = 4

Step 2: Apply Quadratic Formula

x = (-(2) ± √(2² - 4(1)(4))) / (2(1))

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