Mathematics · Quadratic Equations · NCERT Examples

Example 4

A complete, independently verified solution for NCERT Example 4.

ChapterResourceExercise / Example

Mathematics · Chapter 4 · NCERT Examples

Verified NCERT questions and solutionsSolutions are checked independently and follow the supplied NCERT chapter edition.

NCERT Example

factorisation · roots

Find the roots of 6x² − x − 2 = 0.

6x^2-x-2=6x^2+3x-4x-2

=3x(2x+1)-2(2x+1)=(3x-2)(2x+1)

3x-2=0 \text{or} 2x+1=0

x=\frac23 \text{or} x=-\frac12

Each value satisfies the original quadratic.

x=\frac23, -\frac12