Answer:
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
