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quadratic.heading

quadratic.description

How we calculate this - methodology, formulas & sources

Roots

2, 1

1x² − 3x + 2 = 0

-1010
-5050
-5050

Step 1: Discriminant

b² − 4ac = (-3)² − 4(1)(2) = 1

Step 2: Root type

Δ > 0 → Two distinct real roots

Step 3: Quadratic formula

x = (−b ± √Δ) / 2a
x = (−(-3) ± √1) / 2(1)

Step 4: Solutions

x1 =2
x2 =1

Discriminant

1

Axis of symmetry

x = 1.5

Vertex

(1.50, -0.25)

Root 1

2

Root 2

1

Two distinct real roots

y = 1x² − 3x + 2
How we calculate this - methodology, formulas & sources