Question

What two numbers add up to -14 and multiply out to -240

Answer 1

10-24

Explanation:

Answer 2

so x+y=-14
xy=-240

x+y=-14
subtract y from both sides
x=-14-y
subsitute for x in second equation
(-14-y)y=-240
multiply
-y^2-14y=-240
add y^2+14y to both sides
0=y^2+14y-240
use quadratic equation to solve which is
`(-b+/- √(b^2-4ac) )/(2a) =x` if you have ax^2+bx+c so

a=1
b=14
c=-240
subsitute and get
`(-14+/- √(14^2-4(1)(-240)) )/(2(1)) =10 or -24` (+/- means that there are 2 equations exg 2+/-8=2+8 and 2-8)

the numbers are 10 and -24