1
Two numbers have a sum of -15 and a
product of -100. What are the numbers?

2 Answer

2

The value of a = -20 and b = 5.

Let the numbers be a and b

a + b = -15 ...... i

a × b = -100 ....... ii

From equation i,

a = -15 - b ..... iii

Put equation iii into ii

a × b = -100

(-15 - b) × b = -100

-15b - b² = -100

-15b - b² + 100 = 0

b² + 15b - 100 = 0

b² + 20b - 5b - 100 = 0

b(b + 20) - 5(b + 20) = 0

b - 5 = 0

b = 0 + 5 = 5

a + b = -15

a + 5 = -15

a = -15 - 5

a = -20

Therefore, the value of a = -20 and b = 5.

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Fritz Howell IV
15.5k 3 10 26
answered 11 months ago
2

Answer:

the numbers are -20 and 5

Step-by-step explanation:

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Morris Watsica
15.5k 3 10 26
answered 11 months ago