CBSE · Class 6-12

Back to Quadratic Equations

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

Sum and Product of Roots

Lesson 5 of 6

If

\alpha, \beta

are the roots of

ax^2 + bx + c = 0

:

\alpha + \beta = -b/a

,

\alpha\beta = c/a

. This helps in constructing quadratics or answering questions like 'find

\alpha^2 + \beta^2

', which equals

(\alpha + \beta)^2 - 2\alpha\beta

.

Nature of Roots via Discriminant

Word-Problem Strategies

All lessons in this unit