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Which of the following are the roots of 3x^2 + 2x – 1 = 0? 1/3

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Question

Which of the following are the roots of 3x2 + 2x – 1 = 0?

`1/3`

Sum
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Solution

The given equation is (3x2 + 2x – 1 = 0)

On subtracting `x = 1/3` in the given equation, we get : 

L.H.S = 3x2 + 2x – 1 

= `3 xx (1/3)^2 + 2 xx 1/3 - 1` 

= `3 xx 1/9 + 2/3 - 1` 

= `(1 + 2 - 3)/3` 

= `0/3` 

= 0 

= R.H.S 

Thus, `(1/3)` is a root of (3x2 + 2x – 1 = 0)

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Chapter 4: Quadratic Equations - EXERCISE 4A [Page 182]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 4 Quadratic Equations
EXERCISE 4A | Q 2. (ii) | Page 182
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