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Find the roots of the following quadratic equations, if they exist, by the method of completing the square 4x^2 +4√3x +3=0 - Mathematics

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प्रश्न

Find the roots of the following quadratic equations, if they exist, by the method of completing the square `4x^2 + 4sqrt3x + 3 = 0`

बेरीज

उत्तर

`4x^2 + 4sqrt3x + 3 = 0`

`⇒ (2x)^2 + 2 × 2x × sqrt3 + (sqrt3)^2 = 0`

`⇒ (2x + sqrt3)^2 = 0`

`⇒ (2x + sqrt3) = 0 `

`⇒ x = (-sqrt3)/2 `

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पाठ 4: Quadratic Equations - Exercise 4.4 [पृष्ठ २६]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
पाठ 4 Quadratic Equations
Exercise 4.4 | Q 6 | पृष्ठ २६
एनसीईआरटी Mathematics [English] Class 10
पाठ 4 Quadratic Equations
Exercise 4.3 | Q 1.3 | पृष्ठ ८७

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