product of -100. What are the numbers?

product of -100. What are the numbers?

Asked
11 months ago

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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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**Answer:**

the numbers are -20 and 5

**Step-by-step explanation:**

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