2xsquare+4x-8=0 do the complete square method
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Answer:
x = 1 + √(5) or x = 1 - √(5)
detailed Answer : Attachment ✅
Method: Completing square method
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Step-by-step explanation:
Solution: A quadratic equation by completing the square. Given: 2x2 + 4x - 8 = 0 ⇒ 2x2 + 4x = 8 Dividing the above equation by 2 we will get ⇒ x2 + 2x = 4 Adding 1 on both sides ⇒ x2 + 2x + 1 = 4 + 1 ⇒ (x + 1)2 = 5 [ a2 + 2ab+ b2 = (a+b)2 ] ⇒ (x + 1) = ± √5 ⇒ x = ± √5 - 1 ⇒ x = +√5 - 1 , or x = -√5 - 1 ∴ x = -1 ± √5
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