Question

Find the roots of the quadratic equation if they exist by Completely the square 2x² – 4x – 2 = 0

Answer 1

I think that is 1+root of 2and  1-root of 2

Answer 2

Answer: x = 1 ± √2

Step-by-step explanation:

Given Quadratic equation,

2x² - 4x - 2 = 0

divide each term with 2 , we get

=> x² - 2x - 1 = 0

=> x² - 2x = 1

=> x² - 2.x.1 = 1

=> x² - 2.x.1 + 1² = 1 + 1²

=> ( x - 1 )² = 2

=> x - 1 = ± √2

=> x = 1 ± √2

Therefore ,

x = 1 + √2 or x = 1 - √2

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