What two numbers multipy to -270 but adds to -49?

Answer 1

-319

Answer 2

I set up two equations:

xy=-270

x+y=-49

For the second equation, I subtracted y from both sides, and I was left with x=-49-y

I substituted -49-y into the first equation to get (-49-y)y=-270

I distributed the y, -49y-y2=-270

I divided both sides by -1, 49y+y2=270

I subtracted 270 from both sides (and rearranged it a bit, doesn't change the value of the equation) to get y2+49y-270

Some of you will recognize this as a quadratic, and the best way to solve this is with the quadratic formula!

After plugging in the numbers into the quadratic equation and simplifying, I was left with (-49±59)/2

x = 5 , x = -54