CBSE · Class 6-12

Back to Quadratic Equations

Class 10 · Mathematics (Basic) · Unit 4: Quadratic Equations

Nature of Roots via Discriminant

Lesson 4 of 6

D = b^2 - 4ac

. If

D > 0

the roots are real and distinct; if

D = 0

they are real and equal (

x = -b/2a

); if

D < 0

they are complex conjugates (no real roots). The graph of

y = ax^2 + bx + c

cuts, touches, or misses the

x

-axis accordingly.

Completing the Square

Sum and Product of Roots

All lessons in this unit