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Find the Roots of the Following Quadratic Equations by Factorisation 2x^2 + x – 6 = 0 - Mathematics

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Find the roots of the following quadratic equations by factorisation 2x2 + x – 6 = 0 

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Solution

2x2 + x – 6

= 2x2 + 4x - 3x - 6

= 2x(x + 2) - 3(x + 2)

= (x + 2)(2x - 3)

Roots of this equation are the values for which (x + 2)(2x - 3) = 0

∴ x + 2 = 0 or 2x - 3 = 0

⇒ x = -2 or x = `3/2`

Concept: Solutions of Quadratic Equations by Factorization
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APPEARS IN

NCERT Class 10 Maths
Chapter 4 Quadratic Equations
Exercise 4.2 | Q 1.2 | Page 76
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