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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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3 years ago
Carol's starting pay for her summer job is $10.25 per hour. Carol earns exactly 3 raises this summer.
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We know that
1) <span>Carol's starting pay for her summer job is $10.25 per hour
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2) </span><span>For the first rise, she receives a 50 cent-per-hour raise
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</span>Carol earn per hour=$10.75 per hour

3) <span>For the second rise, she receives a 10% raise per hour
10.75*1.10=11.825
</span>Carol earn per hour=$11.825 per hour

4) <span>For the third rise, she receives another 50 cent-per-hour raise
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the answer is
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