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Algebra2D

Quadratic Equations - Theory & Concepts - Discriminant Explorer

Methods for solving quadratic equations including factoring, completing the square, and the quadratic formula.

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Discriminant & Quadratic Roots Explorer

y=x22x3y = x^2 - 2x - 3
Coefficient a1.0
Coefficient b-2.0
Coefficient c-3

Analysis & Roots

D=b24acD = b^2 - 4acD=(2)24(1)(3)=16.0D = (-2)^2 - 4(1)(-3) = 16.0

2 Distinct Real Roots (D>0)(D > 0)

Crosses the x-axis twice:

x1=3.00,x2=1.00x_1 = 3.00, \quad x_2 = -1.00
xyVertex (1.0, -4.0)3.0-1.0
y=ax2+bx+cy = ax^2 + bx + c
Real Roots
Vertex