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inysia [295]
3 years ago
7

I need help on part b the showing part!!

Mathematics
1 answer:
Nastasia [14]3 years ago
6 0
X^2 = 3x + 5
x^2 - 3x - 5 = 0

a(alpha) and b(beta are roots
(x - a)(x - b) = 0
x^2 - (a+b)x + ab = 0

compare coefficients
a+b = 3
ab = -5

solving
(1/a^2 + 1/b^2)
= (a^2 + b^2)/(ab)^2
= (a^2 + 2ab + b^2 - 2ab)/(ab)^2
= [(a+b)^2 - 2ab]/(ab)^2
= [(3)^2 - 2(-5)]/(-5)^2 =...

prove
a^4 = 57a + 70

let x=a,
a^2 = 3a + 5
(a^2)^2 = (3a + 5)^2
a^4 = 9a^2 + 30a + 25
a^4 = 9(3a + 5) + 30a + 25
a^4 = 57a + 70

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Car mart pays $110,000 rent each year for its two-story building. the space in this building is occupied by five departments as
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First floor:

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space engine department 2,925 square feet

Total = 4,500 square feet

 

Second floor:

space window department 1,845 square feet

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Since 70% is allocated to the 1st floor, therefore the floor is receiving:

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Second floor expense = $110,000 - $77,000 = $33,000

 

The expense for each department is the proportion on the total expense per floor.

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Second floor:

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