Question

solve by completing square method
2x2+x-4=0​

Answer 1

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Answer 2

2x2+x-4=0 ⇒ 2x2 + x = 4

Dividing both sides of the equation by 2, we get

⇒ x² +x/2 = 2

Now on adding (1/4)2 to both sides of the equation, we get,

⇒ (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

Therefore, either x = √33-1/4 or x = -√33-1/4