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janny48
29.08.2019 •
Mathematics
Determine algebraically all points where the graphs of xy=10 and y=x+3 intersect
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Ответ:
y1=10/x. y2=x+3
10/x=x+3
x=2 clearly => (2,5)
therefore x=-5=>(-5,-2)
Ответ:
x(x+3)=10
or
x^2+3x=10
or
x^2+3x-10=0
Then you divide the -10 into two different factors, I did 2 and -5.
x^2 is equal to xx, so now you have one x for each factor of the -10:
(x+2)(x-5)=0
This means x is either 2 or -5, and when you plug in these values to the equation y=x+3, you get:
(2,5)
and
(-5,-2)
Which are your two intersecting points!
Ответ: