Engineering/Engineering/1st Year/Sem 1/Engineering Mathematics/Algebra

Quadratic Roots

Solve ax² + bx + c = 0.

Formula

x = (-b ± √(b² - 4ac)) / 2a

Coefficient a

Coefficient b

Coefficient c

Results

Root x₁

2

Root x₂

1

Discriminant

1

Step-by-step

1.Discriminant Δ = b² − 4ac = -3² − 4·1·2 = 1
2.√Δ = 1
3.x₁ = (−b + √Δ) / 2a = 2
4.x₂ = (−b − √Δ) / 2a = 1

25 constants available in the Constants Library