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# Find the roots of the following quadratic equations by the factorisation method: 2x2+53x-2 = 0 - Mathematics

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Sum

Find the root of the following quadratic equations by the factorisation method:

2x^2 + 5/3x - 2 = 0

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#### Solution

Given equation is 2x^2 + 5/3x - 2 = 0

On multiplying by 3 on both sides, we get

6x^2 + 5x - 6 = 0

⇒ 6x^2 + (9x - 4x) - 6 = 0   ......[By splitting the middle term]

⇒ 6x^2 + 9x - 4x - 6 = 0

⇒ 3x(2x + 3) - 2(2x + 3) = 0

(2x + 3)(3x - 2) = 0

Now, 2x + 3 = 0

⇒ x = - 3/2

And 3x - 2 = 0

⇒ x = 2/3

Hence the roots of the equation 6x^2 + 5x - 6 = 0 are (-3)/2 and 2/3

Concept: Solutions of Quadratic Equations by Factorization
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#### APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 4 Quadatric Euation
Exercise 4.3 | Q 2.(i) | Page 40
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