Find the roots of the following quadratic equation by factorisation: 2x2 + x – 6 = 0 - Mathematics

Question

Find the roots of the following quadratic equation by factorisation:

2x² + x – 6 = 0

Sum

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 = $\frac{3}{2}$

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Solutions of Quadratic Equations by Factorization

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Q 1.2 Q 1.1 Q 1.3

Chapter 4: Quadratic Equations - Exercise 4.2 [Page 76]

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Chapter 4 Quadratic Equations
Exercise 4.2 | Q 1.2 | Page 76

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Find the roots of the following quadratic equation by factorisation: 2x2 + x – 6 = 0 - Mathematics

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Find the roots of the following quadratic equation by factorisation: 2x2 + x – 6 = 0 - Mathematics

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