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soldi70 [24.7K]
2 years ago
6

Solve x2 − 8x + 5 = 0 using the completing-the-square method. (2 points)

Mathematics
1 answer:
RoseWind [281]2 years ago
8 0

Answer:

x = 4 +  \sqrt{11},  \:  \: x = 4 -  \sqrt{11}

Step-by-step explanation:

{x}^{2}  -8x + 5 = 0 \\  \\  {x}^{2}  - 8x +  {4}^{2}  =  - 5 +  {4}^{2}  \\  \\  {(x - 4)}^{2}  =  - 5 + 16 \\  \\  {(x - 4)}^{2}  = 11 \\  \\ x - 4 =   \pm \sqrt{11}  \\  \\ x = 4 \pm \sqrt{11}  \\  \\ x = 4 +  \sqrt{11}, \:  \: x = 4 -  \sqrt{11}

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