Two numbers multiplied together give - 15.

They add together to give 2.

What are the two numbers?

x=5 or - 3

y=-3 or 5

(x, y) = (5,-3), (-3,5)

Step-by-step explanation:

Suppose,

Those two numbers are respectively x & y.

now,

Two numbers multiplied together give - 15

so, x. y = - 15

∴y = -15/x ... (1)

They add together to give 2.

so, x+y = 2

=> x + (-15/x) = 2 [From equation (1) ]

=>x-15/x = 2

=> (x²-15) / x = 2

=>x²-15 = 2x [Multiply both sides by x]

=>x²-2x-15 = 0

=>x²-5x+3x-15 = 0

=>x (x-5) + 3 (x-5) = 0

=> (x-5) (x+3) = 0

therefore,

x=5 or x=-3

If x=5,

y = - 15/5 [From equation (1) ]

∴y = - 3

If x=-3,

y = - 15/-3 [From equation (1) ]

∴y=5