Question

One number is 8 more than another. Their product is -16.

Answer 1

Answer:

The two numbers are 4 and -4

Step-by-step explanation:

Turn the words into equations: let's assign one number to be x and the other to be y

x+8=y

x*y=-16

To solve, substitute the value of y in the first equation into y in the second equation.

This gives x*(x+8)=-16

Simplifying gives x^2+8x=-16

x^2+8x+16=0

(x+4)^2=0

x=-4

plug this value of x back into the first equation, -4+8=y, y is 4

Now to make sure the answer is correct: 4 is 8 more than -4, and 4*-4 does equal 16