Question 67005
find two integers whose difference is 23 and whose product is 195
Let the integers by x and y
EQUATIONS:
x-y=23
xy=195
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Solve one for x: x=y+23
Substitute into the other to get:
(y+23)y=195
y^2+23y-195=0
Use the quadratic formula to get:
y=[-23+-sqrt(23^2-4*-195)]/2
y=[-23+-sqrt1309}/2
y=[-23+-36.18...]/2
This does not yield an integer.
You may have posted your numbers incorrectly.
Cheers,
Stan H.