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Katyanochek1 [597]
2 years ago
8

Solve the following quadratic by completing the square. y = x2 - 6x +2

Mathematics
1 answer:
Nana76 [90]2 years ago
4 0

Answer: 3 \pm \sqrt{7}

Step-by-step explanation:

1) \text{ } x^{2}-6x+2=0\\\\2) \text{ } x^{2}-6x=-2\\\\3) \text{ } x^{2}-6x+\left(\frac{-6}{2} \right)^{2}=-2+\left(\frac{-6}{2} \right)^{2}=7\\\\4) \text{ } (x-3)^{2}=7\\\\5) \text{ } x-3 =\pm \sqrt{7} \longrightarrow \boxed{3 \pm \sqrt{7}}

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