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Grade 1210 grade maths

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

Profile image of Pawan Prajapati
5 Years agoGrade 12
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1 Answer

Profile image of Harshit Singh
5 Years ago
Dear Student

⇒ 2x^2 + x = -4
Dividing both sides of the equation by 2
⇒ x^2 + 1/2x = 2
⇒ x^2 + 2 × x × 1/4 = -2
By 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

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