Quadratic Roots

Class 10 Maths: quadratic equations (nature of roots)

Change a, b and c in y = ax² + bx + c. Watch the parabola move and see how the discriminant tells the number of roots.

Words to know

Quadratic
A polynomial of degree 2, like ax² + bx + c.
Root
A value of x that makes the quadratic equal to zero.
Discriminant
D = b² − 4ac; it tells how many real roots there are.
Parabola
The U-shaped graph of a quadratic.

Quick check

Answer 3 questions to check what you learned.

1. The roots of x² − 5x + 6 = 0 are…
2. If b² − 4ac < 0, the equation has…
3. For x² − 4x + 4, the discriminant is…

Try at home

Throw a ball gently across a room and watch its path: it is a parabola. Where does it start and land? Those are like the roots.

Next, try a full lab