Question

Josh is thinking of two numbers.
Their sum is -10 and their difference
is-2. Which system of equations
represents the situation?

Answer 1

Answer:

$k^{2}  + 10k  -2= 0$ is the equation above which represents the given situation.

Step-by-step explanation:

Sum of the numbers = -10

Product of the numbers = -2

Let one of the number = k

So, the other number = (-10 - k)

Also,their product is -2.

⇒k x ( -10 -k) =  -2

or, $-10k - k^{2}  = -2$

⇒  $k^{2}  + 10k  -2= 0$

The equation above represents the given situation appropriately.