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Find the roots of the following quadratic equations by factorisation x^2 – 3x – 10 = 0 - CBSE Class 10 - Mathematics

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Question

Find the roots of the following quadratic equations by factorisation x2 – 3x – 10 = 0

Solution

x2 – 3x – 10

= x2 - 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

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 4: Quadratic Equations
Ex. 4.20 | Q: 1.1 | Page no. 76
Solution Find the roots of the following quadratic equations by factorisation x^2 – 3x – 10 = 0 Concept: Solutions of Quadratic Equations by Factorization.
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