Set up equation
Find the numbers whose sum is -12 and their product is -45.
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Answer:
The numbers are -15 & 3.
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Let the nos. be x and y
ATP
x+y=-12
or x=-12-y
and xy=-45
Substituting,
(-12-y)y=-45
-y²-12y=-45
y²+12y-45=0
y²+15y-3y-45=0
y(y+15)-3(y+15)=0
Either y=3 or y=-15
If y=3,
x+3=-12
x=-15
If y=-15
x+-15=-12
x=3
So the numbers are 3 and -15
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