Mathematics · Quadratic Equations · NCERT Examples

Example 4

A complete, independently verified solution for NCERT Example 4.

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Mathematics · Chapter 4 · NCERT Examples

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

NCERT Example

Example 4

factorisation · roots

Find the roots of 6x² − x − 2 = 0.

Solution

6x2−x−2=6x2+3x−4x−26x^2-x-2=6x^2+3x-4x-2
=3x(2x+1)−2(2x+1)=(3x−2)(2x+1)=3x(2x+1)-2(2x+1)=(3x-2)(2x+1)
3x−2=0or2x+1=03x-2=0 \text{or} 2x+1=0
x=23orx=−12x=\frac23 \text{or} x=-\frac12

Each value satisfies the original quadratic.

Final answer

x=23,−12x=\frac23, -\frac12

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