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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⇒ 2x

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

⇒ x

^{2}+ 1/2x = 2⇒ x

^{2}+ 2 × x × 1/4 = -2By adding (1/4)

^{2 }to both sides of the equation, we get⇒ (x)

^{2 }+ 2 × x × 1/4 + (1/4)^{2}= (1/4)^{2 }– 2⇒ (x + 1/4)

^{2}= 1/16 – 2⇒ (x + 1/4)

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

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

^{2}+ x + 4 = 0.