The sum of two numbers is -3 and their product is -10. What are the two number?
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Let the number be x and y.
The sum is -3:
x + y = -3
Their product is -10:
xy = -10
.
x + y = -3 ------------------ [ 1 ]
xy = -10 ------------------ [ 2 ]
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From [ 1 ]
x + y = -3
x = - 3 - y ------------------ Substitute in [ 2 ]
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xy = -10
( -3 -y) y = -10
-3y - y² = -10
y² + 3y - 10 = 0
(y + 5)(y - 2) = 0
y = -5 or y = 2
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If y = -5
x = - 3 - ( - 5) = 2
if y = 2
x = - 3 - ( 2 ) = -5
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Answer: The 2 numbers are 2 and -5
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