Question

find two numbers with these properties. product is -35 and sum is 2

Answer 1

Answer:

7, -5 are two numbers with these properties. product is -35 and sum is 2

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Answer 2

Step-by-step explanation:

Example 1 :

The sum of two numbers is 60 and their product is 576. Find the numbers.

Solution :

Let x and y are the two consecutive integers

The sum of two numbers is 60

x + y = 60 ---- (1)

Product of two numbers = 576

xy = 576

y = 576/x ----- (2)

Now we apply the value of x in (1)

x + (576/x) = 60

(x2 + 576) / x = 60

x2 + 576 = 60x

x2 - 60x + 576 = 0

(x - 12) (x - 48) = 0

x - 12 = 0

x = 12

If x = 12

y = 576 / 12

y = 48

x - 48 = 0

x = 48

If x = 48

y = 576 / 48

y = 12

So the required integers are 18 and 48.

Verification :

The sum of two numbers is 60

48 + 18 = 60

60 = 60

The product is 576

48 (18) = 576

576 = 576