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Solve the following quadratic equation: 9x^2 + 6x + 1 = 0

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Question

Solve the following quadratic equation:

9x2 + 6x + 1 = 0

Sum
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Solution

Given:

9x2 + 6x + 1 = 0 

⇒ 9x2 + 3x + 3x + 1 = 0 

⇒ 3x(3x + 1) + 1(3x + 1) = 0 

⇒ (3x + 1) (3x + 1) = 0 

⇒ 3x + 1 = 0 or 3x + 1 = 0 

⇒ `x = (-1)/3` or `x = (-1)/3` 

Hence, `(-1)/3` is the root of the equation 9x2 + 6x + 1 = 0.

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Chapter 4: Quadratic Equations - EXERCISE 4A [Page 183]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 4 Quadratic Equations
EXERCISE 4A | Q 34. | Page 183
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