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Find the roots of the following quadratic equations, if they exist, by the method of completing the square 2x^2 + x – 4 =  0 - CBSE Class 10 - Mathematics

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Question

Find the roots of the following quadratic equations, if they exist, by the method of completing the square 2x2 + x – 4 =  0

Solution

2x2 + x – 4 = 0

⇒ 2x2 + x = 4

On dividing both sides of the equation, we get

`⇒ x^2 + x/2 = 2`

On adding (1/4)2 to both sides of the equation, we get

`⇒ (x)^2 + 2 × x × 1/4 + (1/4)^2 = 2 + (1/4)^2`

`⇒ (x + 1/4)^2 = 33/16`

`⇒ x + 1/4 = ± sqrt33/4`

`⇒ x = ± sqrt33/4 - 1/4`

`⇒ x = ± sqrt33-1/4`

`⇒ x = (sqrt33-1)/4  `

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 4: Quadratic Equations
Ex.4.30 | Q: 1.2 | Page no. 87
Solution Find the roots of the following quadratic equations, if they exist, by the method of completing the square 2x^2 + x – 4 =  0 Concept: Solutions of Quadratic Equations by Completing the Square.
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