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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
Dear Student⇒ 2x^2 + x = 4Dividing both sides of the equation by 2, ⇒ x^2 +x/2 = 2Now on adding (1/4)^2 to both sides of the equation, ⇒ (x)^2 + 2 × x × 1/4 + (1/4)^2 = 2 + (1/4)^2⇒ (x + 1/4)^2 = 33/16⇒ x + 1/4 = ± √33/4⇒ x = ± √33/4 - 1/4⇒ x = ± √33-1/4 eitherx = √33-1/4 or x = -√33-1/4Thanks
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