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

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) (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-y�=-600
y�+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) (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:
RELATED QUESTIONS
Find two numbers a and b such that the sum, product, and quotient of the two numbers are... (answered by kiru_khandelwal)
If the sum and product of two numbers are equal, what are the... (answered by Fombitz)
The sum of two numbers equal 8.5 and a product of 18 what are the... (answered by stanbon,htmentor)
the sum and difrence of two numbers are 32 and 16 respectively. find the numbers? (answered by drpipespropmzy)
The sum of two consecutive positive numbers and their product is equal to 271. What are... (answered by richwmiller)
Twice the product of two numbers is equal to the sum of their squares. What is the... (answered by ankor@dixie-net.com)
The sum and the difference of the reciprocals of the two numbers are 7 and 3... (answered by solver91311)
please help me solve this question.the sum of two numbers is equal to 81 and thirty... (answered by Alan3354)
if the product of two numbers is 21 and the sum is 10, what are the two... (answered by jerryguo41,Edwin McCravy)