SOLUTION: the sum and product of two numbers are equal to -10 and -600 respectively. find the numbers ?

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Question 1020270: the sum and product of two numbers are equal to -10 and -600 respectively.
find the numbers ?

Found 2 solutions by Timnewman, MathTherapy:
Answer by Timnewman(323) About Me  (Show Source):
You can put this solution on YOUR website!
hi dear,
let the numers be x and y.
from your question,
x+y=-10--(1)
xy=-600--(2)
from 1
x=-10-y--(3)
put 3 in 2
(-10-y)y=-600
-10y-y²=-600
y²+10y-600=0
factorize the quadratic equation above
(y-20)(y+30)=0
y-20=0 or y+30=0
y=20 or y=-30
the numbers are 20 and -30 or -20 and 30.
HOPE THIS HELPS.
---TIMNEWMAN--

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

the sum and product of two numbers are equal to -10 and -600 respectively.
find the numbers ?
Numbers: highlight_green%28matrix%281%2C3%2C20%2C+and%2C+-+30%29%29