Answer:
Roots of the equation are (−3−√7) , (−3+√7)
Step-by-step explanation:
For solving a quadratic equation using completing the square method:
- set the value of 'y' = 0
- add and subtract the square of half of the coefficient of x.
- solve the obtained equation for 'x'
given equation:
y = x^2 - 6x +2
0 = x^2 - 6x + 2
0 = x^2 - 3^2 + 3^2 -6x +2
0 = (x-3)^2 -7
7 = (x-3)^2
± = x-3
± + 3 = x
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