Step-by-Step Solver

Quadratic Equation Solver

Solve ax² + bx + c = 0 step by step using the discriminant and quadratic formula.

1x2+(5)x+(6)=01x^2 + (5)x + (6) = 0

Step-by-Step Solution

Step 1: Calculate the Discriminant Δ

Formula: Δ = b² - 4ac

Δ=(5)2−4(1)(6)=25−24=1\Delta = (5)^2 - 4(1)(6) = 25 - 24 = 1
2 Distinct Real Roots (Δ > 0)

Step 2: Apply Quadratic Formula

Substitute a, b, and Δ into x = (-b ± √Δ) / (2a)

x=−(5)±12(1)x = \frac{-(5) \pm \sqrt{1}}{2(1)}
Final Solutions / Roots:x₁ = -2, \quad x₂ = -3