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2 years ago

Find x3 -y3,if x-y=5 and xy=14

Mathematics

1 answer:

Nezavi [6.7K]2 years ago

7 0

Answer:

335

Step-by-step explanation:

Factor the given binomial:

x - y = 5

xy = 14

x = y + 5

(y + 5)y = 14

y^2 + 5y - 14 = 0

(y + 7)(y - 2) = 0

y = -7 or y = 2

y = -7

xy = 14

-7x = 14

x = -2

y = 2

2x = 14

x = 7

Solutions:

x = -2, y = -7

x = 7, y = 2

For x = -2, y = 7

x^3 - y^3 =

= (-2)^3 - (-7)^3

= -8 - (-343)

= 335

For x = 7, y = 2

x^3 - y^3 =

= 7^3 - 2^3

= 343 - 8

= 335

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3 years ago

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olga55 [171]

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2 years ago

Pippi sold ten more cups of lemonade that cups of iced tea. She sold 120 cups in all. How many cups of lemonade did she sell?

Kamila [148]

Answer:

65 cups

Step-by-step explanation:

If she sold 10 more cups of lemonade than tea and sold 120 cups total. I first would subtract 10 cups from 120 =110. then I divide 110 /2 = 55 cups

The 55 cups makes it equal then I add the 10 cups back to the Lemonade to get 55+10 = 65

So your answer would be 65 cups of lemonade

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2 years ago