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

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

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) (Show Source): You can put this solution on YOUR website!

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

in your case , ,

........divide by

or

RELATED QUESTIONS
Show that the straight line {{{x+y=p}}} will intersect the curve {{{x^2-6x+y^2-8y+4=0}}}... (answered by jsmallt9)

Consider the circle x^2 + y^2 - 2x -14y +25=0 Show that, if the line y=mx intersects the (answered by ikleyn)

Two circles x^2+y^2=11 and (x-3)^2+y^2=2 intersect at two points. P and Q. Find the exact (answered by Fombitz)

1. Find the possible values of the constant m, for which the curve (m+5)x� + (m�- 1)y�... (answered by ikleyn)

3) show that if A-B-C and B-C-D,then A-B-D and A-C-D 4)Given aline m with coordinate... (answered by 90089)

can u please help me solve this question? 1.The straight line y=3-4x does not... (answered by Theo,richard1234)

p(0,2) and q(4,0) are two points in a plane and 0 is the origin find the equation of the (answered by josgarithmetic)

q^3-q^2+2q-2? (answered by Abbey)

show the steps to solve q+12-2(q-22)>0 q+12-2q+44 > 0 -q>56 q>-56 (answered by rfer,ReadingBoosters)