Omni Math Soup Hub
A multi-utility math portal for step-by-step algebra equation solving, fractional operations, percentage changes, and list numbers LCM/GCD finding.
Calculator-soup style searches usually expect several small math solvers in one place; this hub keeps algebra, fractions, percentages, and LCM/GCD together.
Quadratic Equation: ax² + bx + c = 0
Step-by-Step Resolution
Two real roots: x₁ = 3.0000, x₂ = 2.0000
Vertex coordinates: (2.50, -0.25)
1. Identify coefficients: a = 1, b = -5, c = 6
2. Calculate Discriminant (D) = b² - 4ac = (-5)² - 4(1)(6) = 1
3. D > 0, so there are two real roots:
x = (-b ± √D) / 2a
x₁ = (-(-5) + √1) / (2*1) = 3.0000
x₂ = (-(-5) - √1) / (2*1) = 2.0000
Universal Math Hub FAQ
How are fraction operations simplified?
Fractions are resolved by finding the Least Common Denominator (LCD), executing the operation, and dividing the numerator and denominator by their Greatest Common Divisor (GCD).
What does the quadratic solver do for negative discriminants?
It solves for imaginary roots using the complex number unit 'i' (e.g., x = 2 ± 3i).