📐 Math Homework Calculator
Solve quadratic equations, Pythagorean theorem, derivatives, and more. Step‑by‑step solutions for algebra, geometry & calculus.
Step 1: Choose Math Topic
📘 Quadratic solver active
Adjust sliders for coefficients a, b, and c in ax² + bx + c = 0
Step 2: Enter Coefficients
1.0
-3.0
2.0
⚡ Real-time solving
The roots, discriminant, and vertex update instantly as you move the sliders.
Quadratic Equation Solution
Solution
Step‑by‑Step
Graph (simple)
Roots (x‑intercepts)
x₁ = 2.0, x₂ = 1.0
Equation: 1.0x² -3.0x +2.0 = 0
Discriminant (Δ)
1.0
Vertex (x, y)
(1.5, -0.25)
Axis of symmetry
x = 1.5
Nature of roots
Two real roots
Graph of quadratic (conceptual)
Step‑by‑Step Solution
1. Identify coefficients a = 1.0, b = -3.0, c = 2.0
2. Calculate discriminant Δ = b² – 4ac = 9 – 8 = 1
3. Apply quadratic formula: x = [ -b ± √Δ ] / (2a)
4. x₁ = (3 + 1)/2 = 2.0 , x₂ = (3 – 1)/2 = 1.0
Quick Graph
Parabola opening upward, roots at x=1.0 and x=2.0, vertex at (1.5, -0.25).
Need Step‑by‑Step Math Help?
Connect with expert math tutors for personalized homework assistance, exam prep, and concept clarification.
Find a Math Tutor