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stellarik [79]
4 years ago
12

(w^2 – 6w)^2– 2(w^2 – 6w) – 35 = 0​

Mathematics
1 answer:
muminat4 years ago
4 0

Step-by-step explanation:

( {w}^{2}  - 6w {)}^{2}  - 2( {w}^{2}  - 6w) - 35 = 0 \\  =  {w}^{4} - 6 {w}^{2}   - 2 {w}^{2}  - 12w  =  35  \\  =  {w}^{4}   - 4 {w}^{2}  - 12w = 35

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1. If the length of a rectangle is 6 more than its width, and its perimeter is 48
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For this case we have that by definition, the perimeter of the rectangle is given by:

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According to the data we have:

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Substituting:

48 = 2w + 2 (6 + w)\\48 = 2w + 12 + 2w\\48 = 4w + 12\\48-12 = 4w\\36 = 4w\\w = \frac {36} {4}\\w = 9

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Answer:

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the length of the rectangle is 15 inches

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