Use a quadratic equation to find two real numbers with the sum of 2 and a product of -24

The two real numbers with the sum of 2 and a product of -24  is 6 and -4.

Step-by-step explanation:

Let on of the number is k.

⇒ The other number is ( 2 -  k)

Now, product of the numbers  = -24

⇒  First Number x Second Number = -24

or,  k x  (2-k)  =  -24

or,

or,

or, (k-6)(k+4) = 0

⇒(k-6) = 0  or  (k  +4)  = 0

⇒ k  =  6 , or k = -4

Now, if k = 6, then other number is ( 2 - k ) = -4

And if k = -4, then other number is ( 2-k) = -6

Hence, the two real numbers with the sum of 2 and a product of -24  is 6 and -4.