I want to solve this question but i am not able to solve this question because it is very tough question of class 10th of math of exercise 4.3, (iv) 2×2 + x + 4 = 0

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# Find the roots of the following quadratic equations, if they exist, by the method of completing the square:(iv) 2×2 + x + 4 = 0 Q.1(4)

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â‡’ 2x

^{2}Â +Â xÂ = -4Dividing both sides of the equation by 2, we get

â‡’Â x

^{2}Â + 1/2xÂ = 2â‡’Â x

^{2}Â + 2Â Ã—Â xÂ Ã— 1/4 = -2By adding (1/4)

^{2Â }to both sides of the equation, we getâ‡’ (x)

^{2Â }+Â 2 Ã—Â xÂ Ã— 1/4 + (1/4)^{2}Â = (1/4)^{2Â }â€“ 2â‡’ (xÂ + 1/4)

^{2}Â = 1/16 â€“ 2â‡’ (xÂ + 1/4)

^{2}Â = -31/16As we know, the square of numbers cannot be negative.

Therefore, there is no real root for the given equation, 2x

^{2}Â +Â xÂ + 4 = 0.