SOLUTION: Show that the line x + y = q will intersect the curve x^2 - 2x + 2y^2 = 3 in two distinct points if q^2 < 2q + 5
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-> SOLUTION: Show that the line x + y = q will intersect the curve x^2 - 2x + 2y^2 = 3 in two distinct points if q^2 < 2q + 5
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Question 1184257
:
Show that the line x + y = q will intersect the curve x^2 - 2x + 2y^2 = 3 in two distinct points if q^2 < 2q + 5
Answer by
MathLover1(20850)
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Show that the line
will intersect the curve
in two distinct points if
.......eq.1
..........eq.2
___________________________
.......eq.1
..........eq.2...substitute
use discriminant
the line will intersect the curve in
if
in your case
,
,
........divide by
or
