Find the roots of the following quadratic equations by factorisation *x*^{2} – 3*x* – 10 = 0

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#### Solution

x^{2} – 3x – 10

= x^{2} - 5x + 2x - 10

= x(x - 5) + 2(x - 5)

= (x - 5)(x + 2)

Roots of this equation are the values for which (x - 5)(x + 2) = 0

∴ x - 5 = 0 or x + 2 = 0

⇒ x = 5 or x = -2

Concept: Solutions of Quadratic Equations by Factorization

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