Mathematics

Find the roots of the following quadratic equation by factorisation :

x2 - 3x - 10 = 0

Quadratic Equations

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Answer

Solving,

⇒ x2 - 3x - 10 = 0

⇒ x2 - 5x + 2x - 10 = 0

⇒ x(x - 5) + 2(x - 5) = 0

⇒ (x + 2)(x - 5) = 0

⇒ x + 2 = 0 or x - 5 = 0

⇒ x = -2 or x = 5.

Hence, x = -2 or x = 5.

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