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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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