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

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3 months ago Anand Kumar Pandey
3071 Points
```							Dear Student⇒ 2x^2 + x = -4Dividing both sides of the equation by 2⇒ x^2 + 1/2x = 2⇒ x^2 + 2 × x × 1/4 = -2By adding (1/4)^2 to both sides of the equation,⇒ (x)^2 + 2 × x × 1/4 + (1/4)^2 = (1/4)^2 - 2⇒ (x + 1/4)^2 = 1/16 - 2⇒ (x + 1/4)^2 = -31/16 the square of numbers cannot be negative.Therefore, there is no real root for the given equation,Thanks
```
3 months ago
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