Factorize 2x^2 + 3sqrt5x + 5 - Mathematics

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Factorize `2x^2 + 3sqrt5x + 5`

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Solution

Splitting the middle term,

`= 2x^2 + 2sqrt5x + sqrt5x + 5`       `[∵ 3sqrt5 = 2sqrt5 + sqrt5 " also " 2sqrt5 xx 5]`

`= 2x(x + sqrt5) + sqrt5(x + sqrt5)`

`= (x + sqrt5)(2x + sqrt5)`

`∴ 2x^2 + 3sqrt5x + 5 = (x = sqrt5)(2x + sqrt5)`

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Chapter 5: Factorisation of Algebraic Expressions - Exercise 5.1 [Page 9]

APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 5 Factorisation of Algebraic Expressions
Exercise 5.1 | Q 32 | Page 9

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