Answer:
2+√2/1 and 2-√2/1
Step-by-step explanation:
Completing the square:
2x^2-4x+3=0
2x^2-4x=-3
Divide both sides by 2.
x^2-2x=-3/2
x^2-2x+1=-3/2+1
(x-1)^2=-1/2
√(x-1)^2=√1/2
x-1= ±√2/2
x-1=√2/2
x=1+√2/2
x=2+√2/1
x=1-√2/2
x=2-√2/1
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Answers & Comments
Answer:
2+√2/1 and 2-√2/1
Step-by-step explanation:
Completing the square:
2x^2-4x+3=0
2x^2-4x=-3
Divide both sides by 2.
x^2-2x=-3/2
x^2-2x+1=-3/2+1
(x-1)^2=-1/2
√(x-1)^2=√1/2
x-1= ±√2/2
x-1=√2/2
x=1+√2/2
x=2+√2/1
x-1=√2/2
x=1-√2/2
x=2-√2/1