Question

Two integers whose sum is -5 and product is -14

Answer 1

Step-by-step explanation:

Please refer to the attachment

Answer 2

Answer:

either (2, -7) or (-7,2).

Step-by-step explanation:

Say those two numbers are a and b.

According to the question:

a + b = -5 (*)

and ab = -14

As ab = -14 so b = -14/a

Putting the value of b in  (*) we get:

a - 14/a = -5

=> $a^{2}$ - 14 = -5a

=> $a^{2}$ + 5a - 14 = 0

=> $a^{2}$ + (7-2)a - 14 = 0

=> $a^{2}$ + 7a -2a - 14 = 0

=> a(a + 7) -2(a + 7) = 0

=> (a -2)(a+7) = 0

=> a = 2, -7

When a = 2, b = -14/a = -14/2 = -7

When a = -7, b = -14/a = -14/-7 = 2

So, (a,b) = (2, -7) or (-7,2)

So, the integers are either (2, -7) or (-7,2).