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bazaltina [42]
3 years ago
15

Cristian is building a rectangular garden in his backyard. The width of the garden is set at 29 inches. He wants the fence to be

5 inches longer than the garden on each side. If he wants the area enclosed by the fence to be 2028 square inches, how long should the garden be?
Mathematics
1 answer:
Gekata [30.6K]3 years ago
3 0

Answer:

The length of the garden should be 42\ in

Step-by-step explanation:

Let

x------> the length side of the garden

we know that

The area enclosed by the fence is equal to

2,028=(29+5+5)(x+5+5)\\2,208=(39)(x+10)\\39x+390=2,028\\39x=2,028-390\\39x=1,638\\x=42\ in

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ser-zykov [4K]

Answer:

p_{5} (t) = x^{5} - 5\cdot x^{4} + 3\cdot x^{3} +9\cdot x^{2}, for r_{1} = 0

Step-by-step explanation:

The general form of quintic-order polynomial is:

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According to the statement of the problem, the polynomial has the following roots:

p_{5} (t) = (x - r_{1})\cdot (x-3)^{2}\cdot x^{2} \cdot (x+1)

Then, some algebraic handling is done to expand the polynomial:

p_{5} (t) = (x - r_{1}) \cdot (x^{3}-6\cdot x^{2}+9\cdot x) \cdot (x+1)\\p_{5} (t) = (x - r_{1}) \cdot (x^{4}-5\cdot x^{3} + 3 \cdot x^{2} + 9 \cdot x)

p_{5} (t) = x^{5} - (5+r_{1})\cdot x^{4} + (3 + 5\cdot r_{1})\cdot x^{3} +(9-3\cdot r_{1})\cdot x^{2} - 9 \cdot r_{1}\cdot x

If r_{1} = 0, then:

p_{5} (t) = x^{5} - 5\cdot x^{4} + 3\cdot x^{3} +9\cdot x^{2}

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3 years ago
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borishaifa [10]

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Step-by-step explanation:

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