Answer:
x=7+√ 2 or x=7-√ 2
Explanation:
x^2-14x+47=0
Completing the square,
x^2-14x+49-2=0
x^2-14x+49=2
x^2-7x-7x+49=2
x(x-7)-7(x-7)=2
(x-7)^2=2
x-7=√ 2 or x-7=-√ 2
-2.9375
2x-14x+47=0
16x+47=0
16x=-47
x=-2.9375
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