Question 986899: The product of two numbers is -192 and their sum is 4. What are the two numbers? Found 2 solutions by Cromlix, Alan3354:Answer by Cromlix(4381) (Show Source):
You can put this solution on YOUR website! Hi there,
The product of two numbers is -192
xy = -192
Their sum = 4
x + y = 4
y = 4 - x
Substitute 4 - x into
equation xy = -192
x(4 - x) = -192
Multiply out:
= 4x - x^2 = -192
Sort out
192 + 4x - x^2 = 0
Factorise:
(12 + x)(16 + x-) = 0
12 + x = 0
x = -12
16 + x- = 0
-x = -16
x = 16
Two numbers are:-
-12 and 16
Hope this helps :-)
You can put this solution on YOUR website! The product of two numbers is -192 and their sum is 4. What are the two numbers?
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Find a pair of factors of 192 that differ by 4. One is negative, one is positive.
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1*192 NG
2*96 NG
etc.
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Or, do all this:
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The product of two numbers is -192
xy = -192
Their sum = 4
x + y = 4
y = 4 - x
Substitute 4 - x into
equation xy = -192
x(4 - x) = -192
Multiply out:
= 4x - x^2 = -192
Sort out
192 + 4x - x^2 = 0
Factorise:
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*************** Then at this point, find a pair of factors of 192 that differ by 4.
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(12 + x)(16 + x-) = 0
12 + x = 0
